Simulating of X-states and the two-qubit XYZ Heisenberg system on IBM quantum computer
arXiv:2105.14581 · doi:10.1088/1402-4896/ac49b0
Abstract
Two qubit density matrices, which are of X-shape, are a natural generalization of Bell Diagonal States (BDSs) recently simulated on the IBM quantum device. We generalize the previous results and propose a quantum circuit for simulation of a general two qubit X-state, implement it on the same quantum device, and study its entanglement for several values of the extended parameter space. We also show that their X-shape is approximately robust against noisy quantum gates. To further physically motivate this study, we invoke the two-spin Heisenberg XYZ system and show that for a wide class of initial states, it leads to dynamical density matrices which are X-states. Due to the symmetries of this Hamiltonian, we show that by only two qubits, one can simulate the dynamics of this system on the IBM quantum computer.
arXiv commentClose to published version
References in corpus (35)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Introducing Quantum Discord
- Quantifying Coherence
- The Physical Implementation of Quantum Computation
- The classical-quantum boundary for correlations: discord and related measures
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Unified View of Quantum and Classical Correlations
- Validating quantum computers using randomized model circuits
- Classical Correlation and Quantum Discord in Critical Systems
- Noise tailoring for scalable quantum computation via randomized compiling
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Characterizing Quantum Gates via Randomized Benchmarking
- Optimal Quantum Circuits for General Two-Qubit Gates
- Quantum correlations in spin chains at finite temperatures and quantum phase transitions
- Mitigating measurement errors in multi-qubit experiments
- System-reservoir dynamics of quantum and classical correlations
- Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
- Mitigating depolarizing noise on quantum computers with noise-estimation circuits
- Quantum Algorithm Implementations for Beginners
- Exact Ising model simulation on a quantum computer
- The effect of spin-orbit interaction on entanglement of two-qubit Heisenberg XYZ systems in an inhomogeneous magnetic field
- Quantum discord in finite XY chains
- Measurement Error Mitigation in Quantum Computers Through Classical Bit-Flip Correction
- Entanglement universality of two-qubit X-states
- Mitigating Coherent Noise Using Pauli Conjugation
- Five Experimental Tests on the 5-Qubit IBM Quantum Computer
- Entanglement in highly symmetric multipartite quantum states
- Maximally entangled mixed states for qubit-qutrit systems
- Experimental Realization of Secure Multiparty Quantum Summation Using Five-Qubit IBM Quantum Computer on Cloud
- Evidence of the entanglement constraint on wave-particle duality using the IBM Q quantum computer
- Benchmarking Noise Extrapolation with OpenPulse
- Equi-entangled bases in arbitrary dimensions
- Preparing tunable Bell-diagonal states on a quantum computer
- Maximally genuine multipartite entangled mixed X-states of N-qubits