Commutation simulator for open quantum dynamics
arXiv:2206.00591 · doi:10.1088/1367-2630/acf0e1
Abstract
Recent progress in quantum simulation and algorithms has demonstrated a rapid expansion in capabilities. The search continues for new techniques and applications to exploit quantum advantage. Here we propose an innovative method to investigate directly the properties of a time-dependent density operator . Using generalised quantum commutation simulators, we can directly compute the expectation value of the commutation relation and thus of the rate of change of . The approach can be utilised as a quantum eigen-vector solver for the von Neumann equation and a decoherence investigator for the Lindblad equation, by using just the statistics of single-qubit measurements. A simple but important example is demonstrated in the single-qubit case and we discuss extension of the method for practical quantum simulation with many qubits, towards investigation of more realistic quantum systems.
arXiv comment11 pages and 2 figures
References in corpus (14)
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Variational quantum algorithms for nonlinear problems
- Variational quantum simulation of general processes
- Digital quantum simulation of open quantum systems using quantum imaginary time evolution
- A dissipative quantum Church-Turing theorem
- Speed limit for open quantum systems
- Superdiffusive quantum stochastic walk definable of arbitrary directed graph
- Efficient Quantum Algorithms for Simulating Lindblad Evolution
- Efficient simulation of sparse Markovian quantum dynamics
- Initial Correlations in Open Quantum Systems: Constructing Linear Dynamical Maps and Master Equations
- Invertibility as a witness of Markovianity of the quantum dynamical maps
- Deterministic amplification of Schroedinger cat states in circuit quantum electrodynamics
- Quantum variational PDE solver with machine learning
- Quantum circuit simulation of superchannels