diff --git a/test/quantization/core/experimental/test_adaround_eager.py b/test/quantization/core/experimental/test_adaround_eager.py
new file mode 100644
index 00000000000..33a16f21bd0
--- /dev/null
+++ b/test/quantization/core/experimental/test_adaround_eager.py
@@ -0,0 +1,118 @@
+# Owner(s): ["oncall: speech_infra"]
+
+import copy
+
+import torch
+import torch.nn as nn
+from torch.ao.quantization.experimental.adaround_optimization import (
+    AdaptiveRoundingOptimizer,
+)
+
+from torch.nn import functional as F
+from torch.quantization.observer import MinMaxObserver
+from torch.testing._internal.common_quantization import QuantizationTestCase
+
+
+def forward_wrapper(fetcher):
+    def forward(module, input, output):
+        fetcher.append(input[0].detach())
+        fetcher.append(output.detach())
+
+    return forward
+
+
+class TestAdaround(QuantizationTestCase):
+    def feedforawrd_callback(
+        self,
+        model,
+        data,
+    ) -> None:
+        model(data)
+
+    def run_adaround(self, model, img_data):
+        adaround_optimizer = AdaptiveRoundingOptimizer(
+            model,
+            self.feedforawrd_callback,
+            forward_wrapper,
+            img_data,
+            max_iter=100,
+            batch_size=10,
+        )
+        adarounded_model = adaround_optimizer.run_adaround()
+        return adarounded_model
+
+    def get_fake_quant(self, model):
+        hard_fake_quant_model = copy.deepcopy(model)
+        for _, module in hard_fake_quant_model.named_modules():
+            if isinstance(module, (torch.nn.Linear, torch.nn.Conv2d)):
+                weight_observer = MinMaxObserver(
+                    quant_min=-128,
+                    quant_max=127,
+                    dtype=torch.qint8,
+                    qscheme=torch.per_tensor_symmetric,
+                )
+                weight_observer(module.weight)
+                scale, zero_point = weight_observer.calculate_qparams()
+                fake_quant_module = torch.fake_quantize_per_tensor_affine(
+                    module.weight,
+                    scale=scale,
+                    zero_point=zero_point,
+                    quant_min=-128,
+                    quant_max=127,
+                )
+                module.weight.data.copy_(fake_quant_module)
+        return hard_fake_quant_model
+
+    def test_linear_chain(self):
+        class LinearChain(nn.Module):
+            def __init__(self):
+                super().__init__()
+                self.linear1 = nn.Linear(3, 4)
+                self.linear2 = nn.Linear(4, 5)
+                self.linear3 = nn.Linear(5, 6)
+
+            def forward(self, x):
+                x = self.linear1(x)
+                x = self.linear2(x)
+                x = self.linear3(x)
+                return x
+
+        float_model = LinearChain()
+        img_data = [torch.rand(10, 3, dtype=torch.float) for _ in range(50)]
+        adarounded_model = self.run_adaround(float_model, img_data)
+        fq_model = self.get_fake_quant(float_model)
+        rand_input = torch.rand(10, 3)
+        with torch.no_grad():
+            ada_out = adarounded_model(rand_input)
+            fq_out = fq_model(rand_input)
+            float_out = float_model(rand_input)
+            ada_loss = F.mse_loss(ada_out, float_out)
+            fq_loss = F.mse_loss(fq_out, float_out)
+            self.assertTrue(ada_loss.item() < fq_loss.item())
+
+    def test_conv_chain(self):
+        class ConvChain(nn.Module):
+            def __init__(self):
+                super().__init__()
+                self.conv2d1 = nn.Conv2d(3, 4, 5, 5)
+                self.conv2d2 = nn.Conv2d(4, 5, 5, 5)
+                self.conv2d3 = nn.Conv2d(5, 6, 5, 5)
+
+            def forward(self, x):
+                x = self.conv2d1(x)
+                x = self.conv2d2(x)
+                x = self.conv2d3(x)
+                return x
+
+        float_model = ConvChain()
+        img_data = [torch.rand(10, 3, 125, 125, dtype=torch.float) for _ in range(50)]
+        adarounded_model = self.run_adaround(float_model, img_data)
+        fq_model = self.get_fake_quant(float_model)
+        rand_input = torch.rand(10, 3, 256, 256)
+        with torch.no_grad():
+            ada_out = adarounded_model(rand_input)
+            fq_out = fq_model(rand_input)
+            float_out = float_model(rand_input)
+            ada_loss = F.mse_loss(ada_out, float_out)
+            fq_loss = F.mse_loss(fq_out, float_out)
+            self.assertTrue(ada_loss.item() < fq_loss.item())
diff --git a/torch/ao/quantization/experimental/adaround_fake_quantize.py b/torch/ao/quantization/experimental/adaround_fake_quantize.py
new file mode 100644
index 00000000000..4d988bbb25b
--- /dev/null
+++ b/torch/ao/quantization/experimental/adaround_fake_quantize.py
@@ -0,0 +1,148 @@
+from typing import Tuple
+
+import torch
+from torch.ao.quantization.fake_quantize import _is_symmetric_quant
+from torch.ao.quantization.utils import is_per_tensor
+from torch.quantization import FakeQuantize
+from torch.quantization.observer import MinMaxObserver
+
+
+class AdaroundFakeQuantizer(FakeQuantize):
+    """
+    This is a FakeQuantizer that enables an adaptive rounding fake quantizer.
+    Adaround is a technique to adaptively round weights, derived from the paper https://arxiv.org/pdf/2004.10568.pdf
+    For HTP compatibility, we are targeting to use symmetric quantization
+    """
+
+    scale: torch.Tensor
+    zero_point: torch.Tensor
+    V: torch.nn.Parameter
+
+    # pyre-fixme[3]: Return type must be annotated.
+    def __init__(
+        self,
+        observer=MinMaxObserver,
+        qscheme=torch.per_tensor_symmetric,  # not used, but needed for fakequant
+        quant_min: int = -128,
+        quant_max: int = 127,
+        ch_axis: int = 0,
+        # pyre-fixme[2]: Parameter must be annotated.
+        **observer_kwargs,
+    ):
+        super().__init__(
+            observer=observer,
+            qscheme=qscheme,
+            quant_min=quant_min,
+            quant_max=quant_max,
+            is_dynamic=False,
+            **observer_kwargs,
+        )
+        # Populate quant_min/quant_max to observer_kwargs if valid
+        if quant_min is not None and quant_max is not None:
+            assert (
+                quant_min <= quant_max
+            ), "quant_min must be less than or equal to quant_max"
+        # pyre-fixme[4]: Attribute must be annotated.
+        self.qscheme = qscheme
+        self.is_per_tensor: bool = is_per_tensor(qscheme)
+        self.is_symmetric: bool = _is_symmetric_quant(qscheme)
+        assert self.is_symmetric, "Only symmetric quantization is supported"
+        self.ch_axis: int = ch_axis
+
+        self.scale = torch.tensor([], requires_grad=False)
+        self.zero_point = torch.tensor([], requires_grad=False)
+        self.V = torch.nn.Parameter(torch.tensor([]), requires_grad=True)
+        # Fixed Stretch parameters
+        self.zeta: torch.Tensor = torch.tensor(1.1, requires_grad=False)
+        self.gamma: torch.Tensor = torch.tensor(-0.1, requires_grad=False)
+        self.sigmoid = torch.nn.Sigmoid()
+        self.use_soft_rounding = True
+
+    @torch.jit.export
+    def calculate_qparams(self) -> Tuple[torch.Tensor, torch.Tensor]:
+        return self.scale, self.zero_point
+
+    @torch.jit.export
+    def extra_repr(self) -> str:
+        return (
+            f"fake_quant_enabled={self.fake_quant_enabled}, observer_enabled={self.observer_enabled}, "
+            f"quant_min={self.activation_post_process.quant_min}, quant_max={self.activation_post_process.quant_max}, "
+            f"dtype={self.dtype}, qscheme={self.qscheme}, ch_axis={self.ch_axis}, "
+            f"scale={self.scale}, zero_point={self.zero_point}, (self.V >= 0).int().sum()={(self.V >= 0).int().sum()}"
+        )
+
+    def enable_weight_fake_quant(self) -> None:
+        self.fake_quant_enabled[0] = 1
+
+    def get_rectified_sigmoid_func(self) -> torch.Tensor:
+        if self.use_soft_rounding:
+            return torch.clamp(
+                self.sigmoid(self.V) * (self.zeta - self.gamma) + self.gamma,
+                min=0,
+                max=1,
+            )
+        else:
+            # This will dump a binary solution
+            return (self.V >= 0).int()
+
+    @torch.jit.ignore
+    def update_scale(
+        self, X: torch.Tensor, _scale: torch.Tensor, _zero_point: torch.Tensor
+    ) -> None:
+        if self.scale.numel() == 0:
+            self.scale.data = _scale.to(X.device)
+            self.zero_point = _zero_point.to(X.device)
+        else:
+            self.scale.data = _scale
+            if not self.is_symmetric:
+                self.zero_point = _zero_point
+            else:
+                self.zero_point = torch.zeros_like(_zero_point)
+            for i in range(X.dim()):
+                if i == self.ch_axis:
+                    continue
+                self.zero_point = self.zero_point.unsqueeze(i)
+        X_q = X / self.scale
+        X_q_floor = torch.floor(X_q)
+        residual = X_q - X_q_floor  # [0,1)
+        assert torch.all(
+            torch.ge(residual, 0)
+        ), "residual should be non-negative [0, 1)"
+        V_init = -torch.log((self.zeta - self.gamma) / (residual - self.gamma) - 1)
+        self.V.data = V_init
+
+    def forward(self, X: torch.Tensor) -> torch.Tensor:
+        if self.observer_enabled[0] == 1:
+            X_detached = X.detach()
+            self.activation_post_process(X_detached)
+            _scale, _zero_point = self.activation_post_process.calculate_qparams()
+            _scale, _zero_point = _scale.to(self.scale.device), _zero_point.to(
+                self.zero_point.device
+            )
+            dims = list(range(X.dim()))
+            if not self.is_per_tensor:
+                dims.remove(self.ch_axis)
+            if not self.is_per_tensor:
+                for i in range(X.dim()):
+                    if i == self.ch_axis:
+                        continue
+                    _scale = _scale.unsqueeze(i)
+                    _zero_point = _zero_point.unsqueeze(i)
+            self.update_scale(X_detached, _scale, _zero_point)
+
+        if self.fake_quant_enabled[0] == 1:
+            # Perform soft quantization
+            # See the equation (23) in Adaround paper
+            h_v = self.get_rectified_sigmoid_func()
+            X_q = X / self.scale
+            # Straight-Through Estimator for floor function
+            X_q_floor = torch.floor(X_q) + self.zero_point
+            # Regardless of rounding, gradient should be able to flow back to self.V from X_q_dq.
+            # With adaround, we don't train weight, but train V only.
+            X_q_dq = (
+                torch.clamp(X_q_floor + h_v, min=self.quant_min, max=self.quant_max)
+                - self.zero_point
+            ) * self.scale
+            return X_q_dq
+        else:
+            return X
diff --git a/torch/ao/quantization/experimental/adaround_loss.py b/torch/ao/quantization/experimental/adaround_loss.py
new file mode 100644
index 00000000000..8080d72cc6d
--- /dev/null
+++ b/torch/ao/quantization/experimental/adaround_loss.py
@@ -0,0 +1,96 @@
+from typing import Tuple
+
+import numpy as np
+import torch
+from torch.nn import functional as F
+
+ADAROUND_ZETA: float = 1.1
+ADAROUND_GAMMA: float = -0.1
+
+
+class AdaptiveRoundingLoss(torch.nn.Module):
+    """
+    Adaptive Rounding Loss functions described in https://arxiv.org/pdf/2004.10568.pdf
+    rounding regularization is eq [24]
+    reconstruction loss is eq [25] except regularization term
+    """
+
+    def __init__(
+        self,
+        max_iter: int,
+        warm_start: float = 0.2,
+        beta_range: Tuple[int, int] = (20, 2),
+        reg_param: float = 0.001,
+    ) -> None:
+        super().__init__()
+        self.max_iter = max_iter
+        self.warm_start = warm_start
+        self.beta_range = beta_range
+        self.reg_param = reg_param
+
+    def rounding_regularization(
+        self,
+        V: torch.Tensor,
+        curr_iter: int,
+    ) -> torch.Tensor:
+        """
+        Major logics copied from official Adaround Implementation.
+        Apply rounding regularization to the input tensor V.
+        """
+        assert (
+            curr_iter < self.max_iter
+        ), "Current iteration strictly les sthan max iteration"
+        if curr_iter < self.warm_start * self.max_iter:
+            return torch.tensor(0.0)
+        else:
+            start_beta, end_beta = self.beta_range
+            warm_start_end_iter = self.warm_start * self.max_iter
+
+            # compute relative iteration of current iteration
+            rel_iter = (curr_iter - warm_start_end_iter) / (
+                self.max_iter - warm_start_end_iter
+            )
+            beta = end_beta + 0.5 * (start_beta - end_beta) * (
+                1 + np.cos(rel_iter * np.pi)
+            )
+
+            # A rectified sigmoid for soft-quantization as formualted [23] in https://arxiv.org/pdf/2004.10568.pdf
+            h_alpha = torch.clamp(
+                torch.sigmoid(V) * (ADAROUND_ZETA - ADAROUND_GAMMA) + ADAROUND_GAMMA,
+                min=0,
+                max=1,
+            )
+
+            # Apply rounding regularization
+            # This regularization term helps out term to converge into binary solution either 0 or 1 at the end of optimization.
+            inner_term = torch.add(2 * h_alpha, -1).abs().pow(beta)
+            regularization_term = torch.add(1, -inner_term).sum()
+            return regularization_term * self.reg_param
+
+    def reconstruction_loss(
+        self,
+        soft_quantized_output: torch.Tensor,
+        original_output: torch.Tensor,
+    ) -> torch.Tensor:
+        """
+        Compute the reconstruction loss between the soft quantized output and the original output.
+        """
+        return F.mse_loss(
+            soft_quantized_output, original_output, reduction="none"
+        ).mean()
+
+    def forward(
+        self,
+        soft_quantized_output: torch.Tensor,
+        original_output: torch.Tensor,
+        V: torch.Tensor,
+        curr_iter: int,
+    ) -> Tuple[torch.Tensor, torch.Tensor]:
+        """
+        Compute the asymmetric reconstruction formulation as eq [25]
+        """
+        regularization_term = self.rounding_regularization(V, curr_iter)
+        reconstruction_term = self.reconstruction_loss(
+            soft_quantized_output, original_output
+        )
+        return regularization_term, reconstruction_term
diff --git a/torch/ao/quantization/experimental/adaround_optimization.py b/torch/ao/quantization/experimental/adaround_optimization.py
new file mode 100644
index 00000000000..7304f885a6f
--- /dev/null
+++ b/torch/ao/quantization/experimental/adaround_optimization.py
@@ -0,0 +1,238 @@
+import copy
+import logging
+from typing import Any, Callable, List, Optional, Tuple, Type, Union
+
+import torch
+from torch.ao.quantization.experimental.adaround_fake_quantize import (
+    AdaroundFakeQuantizer,
+)
+from torch.ao.quantization.experimental.adaround_loss import AdaptiveRoundingLoss
+from torch.ao.quantization.observer import MinMaxObserver
+from torch.nn import functional as F
+from torch.nn.parallel import DataParallel
+from torch.utils.data import DataLoader, TensorDataset
+
+logger: logging.Logger = logging.getLogger(__name__)
+
+
+class AdaptiveRoundingOptimizer:
+    def __init__(
+        self,
+        model: Union[torch.nn.Module, torch.nn.DataParallel],
+        callback: Callable[[torch.nn.Module, List[Any]], None],
+        forward_hook_wrapper: Callable[[List[torch.Tensor]], Callable],
+        data: List[Any],
+        observer: Type[torch.ao.quantization.observer.ObserverBase] = MinMaxObserver,
+        max_iter=10000,
+        dtype: torch.dtype = torch.qint8,
+        quant_min=-128,
+        quant_max=127,
+        qscheme: torch.qscheme = torch.per_tensor_symmetric,
+        batch_size: int = 256,
+    ):
+        self.model = model
+        self.q_model = copy.deepcopy(self.model)
+        self.device = torch.device("cuda") if torch.cuda.is_available() else None
+        self.callback = callback
+        self.forward_hook_wrapper = forward_hook_wrapper
+        # TODO rather than having a data as list type or, we better pass *iterator* instead of list
+        self.data = data
+        self.batch_size = min(batch_size, len(data))
+        self.max_iter = max_iter
+        self.adaptive_round_loss_fn = AdaptiveRoundingLoss(
+            max_iter=self.max_iter, warm_start=0.2
+        )
+        self.dtype = dtype
+        self.observer = observer
+        self.quant_min = quant_min
+        self.quant_max = quant_max
+        self.qscheme = qscheme
+
+    def run_adaround(self) -> torch.nn.Module:
+        layer_list: List[Tuple[str, torch.nn.Module, torch.nn.Module]] = []
+        for (name, module), q_module in zip(
+            self.model.named_modules(), self.q_model.modules()
+        ):
+            if isinstance(module, (torch.nn.Conv1d, torch.nn.Linear)):
+                # Knowing activation ahead-of-time would be helpful for asymmetric formulation
+                # But this is challenging in eager mode, but graph module.
+                layer_list.append((name, module, q_module))
+        logger.info(f"Total number of layers : {len(layer_list)}")  # noqa: G004
+
+        for name, module, q_module in layer_list:
+            logger.info(
+                f"Kick start adaptive rounding on {name} module {module}"  # noqa: G004
+            )
+            self.optimize_adaptive_rounding(
+                module,
+                q_module,
+                None,
+            )
+
+        return (
+            self.q_model.module
+            if isinstance(self.q_model, DataParallel)
+            else self.q_model
+        )
+
+    def get_data_inp_out(
+        self, module: torch.nn.Module, q_module: torch.nn.Module, data: List[Any]
+    ) -> Tuple[List[torch.Tensor], List[torch.Tensor], List[torch.Tensor]]:
+        fp_out: List[torch.Tensor] = []
+        q_input: List[torch.Tensor] = []
+        fp_input: List[torch.Tensor] = []
+        fp32_fetcher: List[torch.Tensor] = []
+        quant_fetcher: List[torch.Tensor] = []
+        handler1 = module.register_forward_hook(self.forward_hook_wrapper(fp32_fetcher))
+        handler2 = q_module.register_forward_hook(
+            self.forward_hook_wrapper(quant_fetcher)
+        )
+        for data_ in data:
+            with torch.no_grad():
+                self.callback(self.model, data_)
+                self.callback(self.q_model, data_)
+            fp32_output = fp32_fetcher[1]
+            quant_input = quant_fetcher[0]
+            fp_out.append(fp32_output)
+            q_input.append(quant_input)
+            fp_input.append(fp32_fetcher[0])
+        handler1.remove()
+        handler2.remove()
+        return q_input, fp_out, fp_input
+
+    @torch.no_grad()
+    def feed_forward(self, x, weight, module):
+        if isinstance(module, torch.nn.Conv1d):
+            out = torch.nn.functional.conv1d(
+                x,
+                weight,
+                stride=module.stride,
+                padding=module.padding,
+                dilation=module.dilation,
+                groups=module.groups,
+            )
+        elif isinstance(module, torch.nn.Linear):
+            out = torch.nn.functional.linear(
+                x,
+                weight,
+                bias=module.bias,
+            )
+        else:
+            raise NotImplementedError
+        return out
+
+    def _compute_and_display_local_losses(
+        self,
+        ada_quantizer: AdaroundFakeQuantizer,
+        q_module: torch.nn.Module,
+        q_inp: torch.Tensor,
+        fp_out: torch.Tensor,
+    ):
+        with torch.no_grad():
+            ada_quantizer.use_soft_rounding = False
+            q_w_hard_round = ada_quantizer(q_module.weight)
+            out_hard_quant = self.feed_forward(q_inp, q_w_hard_round, q_module)
+            ada_quantizer.use_soft_rounding = True
+            q_w_soft_round = ada_quantizer(q_module.weight)
+            out_soft_quant = self.feed_forward(q_inp, q_w_soft_round, q_module)
+            soft_quant_loss = F.mse_loss(out_soft_quant, fp_out)
+            hard_quant_loss = F.mse_loss(out_hard_quant, fp_out)
+            logger.info(
+                f"soft quant loss: {soft_quant_loss.item()} hard quant loss: {hard_quant_loss.item()}"  # noqa: G004
+            )
+
+    def optimize_adaptive_rounding(
+        self,
+        module: torch.nn.Module,
+        q_module: torch.nn.Module,
+        activation: Optional[Callable[[torch.Tensor], torch.Tensor]] = None,
+    ) -> None:
+        ada_quantizer = AdaroundFakeQuantizer(
+            dtype=self.dtype,
+            observer=self.observer,
+            qscheme=self.qscheme,
+            quant_min=self.quant_min,
+            quant_max=self.quant_max,
+            reduce_range=False,
+        )
+        ada_quantizer.enable_observer()
+        ada_quantizer(q_module.weight)
+        ada_quantizer.disable_observer()
+        ada_quantizer.enable_fake_quant()
+        optimizer = torch.optim.Adam([ada_quantizer.V])
+        inp, out, fp_in = self.get_data_inp_out(module, q_module, self.data)
+
+        logger.info("==================== Before adaround ====================")
+        test_in, test_out, fp_test_in = self.get_data_inp_out(
+            module, q_module, self.data[0]
+        )
+
+        assert (
+            torch.abs(test_out[0] - module(fp_test_in[0])).sum().item() == 0
+        ), "In-placed activation is detected, please do not use activation in-placed"
+        # Stack the tensors in each list into a single tensor
+        # Assuming inp and out are your lists of tensors
+        inp_tensor = torch.vstack(inp)
+        out_tensor = torch.vstack(out)
+        dataset = TensorDataset(inp_tensor, out_tensor)
+        dataloader = DataLoader(dataset, batch_size=self.batch_size, shuffle=True)
+
+        self._compute_and_display_local_losses(
+            ada_quantizer, q_module, test_in[0], test_out[0]
+        )
+        global_idx = 0
+        one_iter = len(out) // self.batch_size
+        for iteration in range(self.max_iter // one_iter):
+            reconstruction_loss = regularization_loss = torch.tensor(0)
+            for q_inp, fp_out in dataloader:
+                optimizer.zero_grad()
+                q_weight = ada_quantizer(q_module.weight)
+                if isinstance(module, torch.nn.Conv1d):
+                    q_out = torch.nn.functional.conv1d(
+                        q_inp,
+                        q_weight,
+                        stride=q_module.stride,
+                        padding=q_module.padding,
+                        dilation=q_module.dilation,
+                        groups=q_module.groups,
+                    )
+                elif isinstance(q_module, torch.nn.Linear):
+                    q_out = torch.nn.functional.linear(
+                        q_inp,
+                        q_weight,
+                        bias=q_module.bias,
+                    )
+                else:
+                    raise NotImplementedError
+                regularization_loss, reconstruction_loss = self.adaptive_round_loss_fn(
+                    fp_out,
+                    q_out,
+                    ada_quantizer.V,
+                    curr_iter=global_idx,
+                )
+                loss = regularization_loss + reconstruction_loss
+                loss.backward()
+                optimizer.step()
+                global_idx += 1
+                if global_idx >= self.max_iter:
+                    break
+            if global_idx >= self.max_iter:
+                break
+            if iteration % 30 == 0:
+                logger.info(
+                    f"glob iter {global_idx} regularization_loss {regularization_loss.item()} "  # noqa: G004
+                    f"reconstruction_loss {reconstruction_loss.item()}"  # noqa: G004
+                )
+        logger.info("==================== After adaround ====================")
+        self._compute_and_display_local_losses(
+            ada_quantizer, q_module, test_in[0], test_out[0]
+        )
+
+        ada_quantizer.use_soft_rounding = True
+        ada_quantizer.V.requires_grad = False
+        ada_quantizer = ada_quantizer.eval()
+        q_weight = ada_quantizer(q_module.weight)
+        # At the end of optimization, we need to copy the adarounded weight back to the original module
+        q_module.weight.data.copy_(q_weight)
+        # Eager mode requires observer to be set as "weight_fake_quant" to be parsed
+        q_module.weight_fake_quant = ada_quantizer.activation_post_process