diff --git a/Experiment_hdfm.py b/Experiment_hdfm.py
new file mode 100644
index 0000000..d3fb196
--- /dev/null
+++ b/Experiment_hdfm.py
@@ -0,0 +1,370 @@
+"""
+量子哈密顿量模拟 - 1D横场伊辛模型(TFIM)
+使用Qiskit实现，支持分布式量子计算(DQC)
+"""
+# =========================
+# Python path setup
+# =========================
+import sys
+from pathlib import Path
+sys.path.insert(0, str(Path(__file__).parent / "src"))
+
+import numpy as np
+import time
+import collections
+from typing import List, Tuple
+import matplotlib.pyplot as plt
+
+from qiskit import QuantumCircuit, ClassicalRegister, transpile
+from qiskit.circuit import Instruction, CircuitInstruction
+from qiskit.converters import circuit_to_dag
+from qiskit.quantum_info import Statevector
+from qiskit_aer import AerSimulator
+from qiskit.visualization import plot_histogram
+from qiskit_aer.noise import NoiseModel
+
+# =========================
+# Fake backends (heterogeneous QPUs)
+# =========================
+from qiskit_ibm_runtime.fake_provider import (
+    FakeVigoV2,
+    FakeLagosV2,
+    FakeCasablancaV2,
+    FakeYorktownV2,
+    FakeManilaV2,
+    FakeNairobiV2,
+    FakeMumbaiV2,
+    FakeKolkataV2,
+    FakeGuadalupeV2,
+    FakeAlmadenV2,
+    FakeAthensV2,
+    FakeCambridgeV2
+)
+
+# =========================
+# Distributed Quantum Computing Simulator
+# =========================
+from dqc_simulator import DQCCircuit, DQCQPU, QPUManager
+from dqc_simulator.backend import IonQ
+
+class HamiltonianSimulationQiskit:
+    """
+    1D横场伊辛模型(TFIM)哈密顿量模拟的Qiskit实现
+    
+    Parameters:
+    -----------
+    num_qubits : int
+        量子比特数量
+    time_step : int
+        时间步长
+    total_time : int
+        总演化时间
+    """
+
+    def __init__(self, num_qubits: int, time_step: int, total_time: int) -> None:
+        self.num_qubits = num_qubits
+        self.time_step = time_step
+        self.total_time = total_time
+
+    def circuit(self) -> QuantumCircuit:
+        """
+        生成量子电路
+        
+        Returns:
+        --------
+        QuantumCircuit : 构建的量子电路
+        """
+        # 物理常数
+        hbar = 0.658212  # eV*fs (约化普朗克常数)
+        jz = hbar * np.pi / 4  # eV, 耦合系数
+        freq = 0.0048  # 1/fs, MoSe2声子频率
+
+        # 声子参数
+        w_ph = 2 * np.pi * freq
+        e_ph = 3 * np.pi * hbar / (8 * np.cos(np.pi * freq))
+
+        # 初始化量子电路
+        qc = QuantumCircuit(self.num_qubits, self.num_qubits)
+
+        # 构建时间演化电路
+        num_steps = int(self.total_time / self.time_step)
+        for step in range(num_steps):
+            t = (step + 0.5) * self.time_step
+
+            # 单量子比特项 (横场项)
+            psi = -2.0 * e_ph * np.cos(w_ph * t) * self.time_step / hbar
+            for q in range(self.num_qubits):
+                qc.h(q)
+                qc.rz(psi, q)
+                qc.h(q)
+
+            # 双量子比特耦合项 (伊辛相互作用)
+            psi2 = -2.0 * jz * self.time_step / hbar
+            for i in range(self.num_qubits - 1):
+                qc.cx(i, i + 1)
+                qc.rz(psi2, i + 1)
+                qc.cx(i, i + 1)
+
+        # 添加测量
+        qc.measure(range(self.num_qubits), range(self.num_qubits))
+        return qc
+
+    def _get_ideal_counts(self, circuit: QuantumCircuit) -> collections.Counter:
+        """
+        计算理想(无噪声)概率分布
+        
+        Parameters:
+        -----------
+        circuit : QuantumCircuit
+            量子电路
+            
+        Returns:
+        --------
+        Counter : 理想概率分布
+        """
+        qc_no_measure = circuit.remove_final_measurements(inplace=False)
+        sv = Statevector.from_instruction(qc_no_measure)
+        probs = sv.probabilities_dict()
+        return collections.Counter(probs)
+
+    def _average_magnetization(self, result: dict, shots: int) -> float:
+        """
+        计算平均磁化强度 <Z>
+        
+        Parameters:
+        -----------
+        result : dict
+            测量结果计数
+        shots : int
+            总测量次数
+            
+        Returns:
+        --------
+        float : 平均磁化强度
+        """
+        mag = 0
+        for spin_str, count in result.items():
+            bitstring = spin_str[::-1]
+            # 将比特串转换为自旋: 0→+1, 1→-1
+            spin_int = [1 - 2 * int(s) for s in bitstring]
+            mag += (sum(spin_int) / len(spin_int)) * count
+        average_mag = mag / shots
+        return average_mag
+
+    def score(self, counts: collections.Counter) -> float:
+        """
+        基于磁化强度计算保真度评分
+        
+        Parameters:
+        -----------
+        counts : Counter
+            实验测量结果
+            
+        Returns:
+        --------
+        float : [0,1]范围的评分，1表示完美匹配
+        """
+        ideal_counts = self._get_ideal_counts(self.circuit())
+        total_shots = sum(counts.values())
+
+        mag_ideal = self._average_magnetization(ideal_counts, 1)
+        mag_experimental = self._average_magnetization(counts, total_shots)
+
+        return 1 - abs(mag_ideal - mag_experimental) / 2
+
+    def score2(self, counts: collections.Counter) -> float:
+        """
+        使用Hellinger保真度评估模拟质量
+        
+        Parameters:
+        -----------
+        counts : Counter
+            实验测量结果
+            
+        Returns:
+        --------
+        float : Hellinger保真度 [0,1]
+        """
+        # 获取电路并移除测量
+        qc = self.circuit()
+        qc_no_measure = qc.copy()
+        qc_no_measure.data = [
+            inst for inst in qc_no_measure.data 
+            if inst[0].name != 'measure'
+        ]
+
+        # 生成理想状态向量
+        sv = Statevector.from_instruction(qc_no_measure)
+        ideal_probs = sv.probabilities_dict()
+
+        # 归一化实验概率
+        total_shots = sum(counts.values())
+        exp_probs = {k: v / total_shots for k, v in counts.items()}
+
+        # 计算Hellinger保真度
+        fidelity = sum(
+            np.sqrt(ideal_probs.get(k, 0)) * np.sqrt(p) 
+            for k, p in exp_probs.items()
+        )
+
+        return fidelity
+
+
+def count_two_qubit_gates(circuit: QuantumCircuit) -> int:
+    """
+    统计电路中两比特门的数量
+    
+    Parameters:
+    -----------
+    circuit : QuantumCircuit
+        量子电路
+        
+    Returns:
+    --------
+    int : 两比特门数量
+    """
+    dag = circuit_to_dag(circuit)
+    dag.remove_all_ops_named("barrier")
+    return len(list(dag.two_qubit_ops()))
+
+
+def setup_qpugroup(qpu_configs: List[Tuple[int, str]], 
+                   connections: List[Tuple[int, int]], 
+                   dist: float = 0.5) -> QPUManager:
+    """
+    设置QPU组
+    
+    Parameters:
+    -----------
+    qpu_configs : List[Tuple[int, str]]
+        QPU配置列表，每个元素为(qpu_id, backend_name)
+    connections : List[Tuple[int, int]]
+        QPU连接列表，每个元素为(qpu1_id, qpu2_id)
+    dist : float
+        QPU间距离，默认0.5
+        
+    Returns:
+    --------
+    QPUManager : 配置好的QPU管理器
+    """
+    qpugroup = QPUManager()
+    
+    # 添加QPU
+    for qpu_id, backend_name in qpu_configs:
+        qpugroup.add_qpu(DQCQPU(qpu_id, backend_name))
+    
+    # 添加连接
+    for qpu1, qpu2 in connections:
+        qpugroup.add_coonnection(qpu1, qpu2, distance=dist)
+    
+    return qpugroup
+
+
+def run_hamiltonian_dqc(ham: HamiltonianSimulationQiskit, 
+                        partition: List[int], 
+                        qpugroup: QPUManager, 
+                        numbits: int = 12) -> Tuple[float, int, int]:
+    """
+    运行哈密顿量DQC模拟并测量性能指标
+    
+    Parameters:
+    -----------
+    ham : HamiltonianSimulationQiskit
+        哈密顿量模拟对象
+    partition : List[int]
+        量子比特分区方案
+    qpugroup : QPUManager
+        QPU管理器
+    numbits : int
+        保留的比特数，默认12
+        
+    Returns:
+    --------
+    Tuple[float, int, int] : (保真度, 远程门数量, 两比特门总数)
+    """
+    qc = ham.circuit()
+    
+    print(f"  电路信息: {qc.num_qubits} qubits, {qc.num_clbits} classical bits")
+    
+    try:
+        # 执行DQC
+        qc_dqc = DQCCircuit(qc)
+        result_qc = qc_dqc.Execution(partition, qpugroup, comm_noise=True, measure_time = True)
+        
+        # 获取噪声模型并运行仿真
+        noise_model = qc_dqc.get_noise_model()
+        sim = AerSimulator(noise_model=noise_model)
+        compiled = transpile(result_qc, sim)
+        start_time = time.time()
+        job = sim.run(compiled, shots=1000)
+        result = job.result()
+        end_time = time.time()
+        elapsed_time = end_time - start_time
+        print(f"Running time: {elapsed_time:.4f} seconds")
+        
+        # 处理测量结果
+        counts = result.get_counts()
+        
+        # 保留前numbits位
+        new_counts = {}
+        for bitstring, cnt in counts.items():
+            bits = bitstring[:numbits]
+            new_counts[bits] = new_counts.get(bits, 0) + cnt
+        
+        # 计算保真度 (Hellinger fidelity)
+        fidelity = ham.score2(new_counts)
+        
+        # 获取性能指标
+        num_remote_gates = qc_dqc.Num_RemoteGate
+        num_two_qubit_gates = count_two_qubit_gates(result_qc)
+        
+        return fidelity, num_remote_gates, num_two_qubit_gates
+    
+    except Exception as e:
+        print(f"  Error with partition {partition}: {e}")
+        import traceback
+        traceback.print_exc()
+        return None, None, None
+
+
+def main():
+    """
+    主函数 - 演示如何使用
+    """
+    # 创建12量子比特的TFIM电路
+    ham = HamiltonianSimulationQiskit(num_qubits=20, time_step=1, total_time=3)
+    qc = ham.circuit()
+    qc0 = qc.copy()
+    
+    # 设置分布式量子计算
+    qc_dqc = DQCCircuit(qc0)
+    partition = [4, 4, 4, 4, 4]  # 4个QPU，每个3个量子比特
+    
+    # 配置QPU组
+    qpugroup = QPUManager()
+    for i in range(5):
+        qpugroup.add_qpu(DQCQPU(i, "FakeVigoV2"))
+ 
+    # 添加QPU连接（线性拓扑）
+    distance = 5
+    qpugroup.add_coonnection(0, 1, distance=distance)
+    # 可以添加更多连接以形成不同的拓扑结构
+    # qpugroup.add_coonnection(0, 2, distance=distance)
+    qpugroup.add_coonnection(1, 2, distance=distance)
+    # qpugroup.add_coonnection(1, 3, distance=distance)
+    qpugroup.add_coonnection(2, 3, distance=distance)
+    qpugroup.add_coonnection(3, 4, distance=distance)
+    
+    # 运行DQC模拟
+    fidelity, num_remote, num_two_qubit = run_hamiltonian_dqc(
+        ham, partition, qpugroup, numbits=20
+    )
+    
+    print(f"\n结果:")
+    print(f"  Hellinger保真度: {fidelity:.4f}")
+    # print(f"  远程门数量: {num_remote}")
+    # print(f"  两比特门总数: {num_two_qubit}")
+
+
+if __name__ == "__main__":
+    main()
\ No newline at end of file
diff --git a/src/dqc_simulator/__pycache__/__init__.cpython-313.pyc b/src/dqc_simulator/__pycache__/__init__.cpython-313.pyc
index 30a1cf5..78ae71d 100644
Binary files a/src/dqc_simulator/__pycache__/__init__.cpython-313.pyc and b/src/dqc_simulator/__pycache__/__init__.cpython-313.pyc differ
diff --git a/src/dqc_simulator/__pycache__/backend.cpython-313.pyc b/src/dqc_simulator/__pycache__/backend.cpython-313.pyc
index bfb26f9..6673bdd 100644
Binary files a/src/dqc_simulator/__pycache__/backend.cpython-313.pyc and b/src/dqc_simulator/__pycache__/backend.cpython-313.pyc differ
diff --git a/src/dqc_simulator/__pycache__/dqc_simulator.cpython-313.pyc b/src/dqc_simulator/__pycache__/dqc_simulator.cpython-313.pyc
index 74b3ab2..0e43b4a 100644
Binary files a/src/dqc_simulator/__pycache__/dqc_simulator.cpython-313.pyc and b/src/dqc_simulator/__pycache__/dqc_simulator.cpython-313.pyc differ
diff --git a/src/dqc_simulator/dqc_simulator.py b/src/dqc_simulator/dqc_simulator.py
index f14c17a..7a5941b 100644
--- a/src/dqc_simulator/dqc_simulator.py
+++ b/src/dqc_simulator/dqc_simulator.py
@@ -34,6 +34,7 @@
 
 import numpy as np
 import copy  
+import time
 import matplotlib.pyplot as plt
 
 class RemoteGate(Instruction):
@@ -336,7 +337,11 @@ def __init__(self, *args, **kwargs):
         self.Num_RemoteGate = 0
 
     # 执行
-    def Execution(self, config, qpugroup, comm_noise = False):
+    def Execution(self, config, qpugroup, comm_noise=False, measure_time=False):
+        # 开始计时
+        if measure_time:
+            start_time = time.time()
+        
         self.qpugroup = qpugroup
         qpus = self.qpugroup.qpus
 
@@ -359,6 +364,12 @@ def Execution(self, config, qpugroup, comm_noise = False):
 
         result_qc = self.merge_trans_circuits(comm_noise)
         
+        # 结束计时并输出
+        if measure_time:
+            end_time = time.time()
+            elapsed_time = end_time - start_time
+            print(f"SimDisQ Execution time: {elapsed_time:.4f} seconds")
+        
         return result_qc
 
     # Get the index of a qubit in the circuit