Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm
arXiv:2201.07687 · doi:10.1103/PhysRevA.106.022424
Abstract
We experimentally implement the Sz.-Nagy dilation algorithm to simulate open quantum dynamics on an nuclear magnetic resonance (NMR) quantum processor. The Sz.-Nagy algorithm enables the simulation of the dynamics of arbitrary-dimensional open quantum systems, using only a single ancilla qubit. We experimentally simulate the action of two non-unitary processes, namely, a phase damping channel acting independently on two qubits and a magnetic field gradient pulse (MFGP) acting on an ensemble of two coupled nuclear spin-1/2 particles. To evaluate the quality of the experimentally simulated quantum process, we perform convex optimization-based full quantum process tomography to reconstruct the quantum process from the experimental data and compare it with the target quantum process to be simulated.
arXiv comment11 pages, 4 figures
References in corpus (25)
- Quantum Simulation
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Simulating chemistry using quantum computers
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- A review of progress in the physics of open quantum systems: theory and experiment
- Quantum Circuits for Isometries
- Efficient learning of quantum noise
- Realization of quantum process tomography in NMR
- A quantum algorithm for evolving open quantum dynamics on quantum computing devices
- Capturing Non-Markovian Dynamics on Near-Term Quantum Computers
- Experimental implementation of fully controlled dephasing dynamics and synthetic spectral densities
- Quantum simulation of parity-time symmetry breaking with a superconducting quantum processor
- Quantum simulation of quantum channels in nuclear magnetic resonance
- Quantum Simulation of Dissipative Processes without Reservoir Engineering
- Exact and efficient quantum simulation of open quantum dynamics for various of Hamiltonians and spectral densities
- Experimental demonstration of selective quantum process tomography on an NMR quantum information processor
- High Resolution non-Markovianity in NMR
- Evolution of tripartite entangled states in a decohering environment and their experimental protection using dynamical decoupling
- Quantum simulation of non-Markovianity using the quantum Zeno effect
- Efficient experimental design of high-fidelity three-qubit quantum gates via genetic programming
- Strong convergence of quantum channels: continuity of the Stinespring dilation and discontinuity of the unitary dilation
- Experimentally freezing quantum discord in a dissipative environment using dynamical decoupling
- Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase-damping and amplitude damping noise channels
- Experimental protection of arbitrary states in a two-qubit subspace by nested Uhrig dynamical decoupling
- Effects of Noise, Correlations and errors in the preparation of initial states in Quantum Simulations