Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians

Abstract

We derive an exact and explicit Kraus decomposition for the reduced density of a quantum system simultaneously interacting with time-dependent external fields and a chaotic environment of thermodynamic dimension. We test the accuracy of the Kraus decomposition against exact numerical results for a CNOT gate performed on two qubits of an $(N+2)$-qubit statically flawed isolated quantum computer. Here the $N$ idle qubits comprise the finite environment. We obtain very good agreement even for small $N$.

References in corpus (21)

• Quantum state engineering with Josephson-junction devices
• Environment-independent decoherence rate in classically chaotic systems
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Arbitrarily accurate composite pulses
• Scalable quantum computing with Josephson charge qubits
• Dynamics of open quantum systems initially entangled with environment: Beyond the Kraus representation
• Quantum Chaos Border for Quantum Computing
• Fidelity Decay as an Efficient Indicator of Quantum Chaos
• Emergence of Quantum Chaos in Quantum Computer Core and How to Manage It
• Quantum-Classical Correspondence via Liouville Dynamics: II. Correspondence for Chaotic Hamiltonian Systems
• Kraus representation in the presence of initial correlations
• Intrinsic Decoherence Dynamics in Smooth Hamiltonian Systems: Quantum-classical Correspondence
• Emergence of Fermi-Dirac Thermalization in the Quantum Computer Core
• When is Quantum Decoherence Dynamics Classical?
• Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay
• Dynamics of a Simple Quantum System in a Complex Environment
• Probing internal bath dynamics by a Rabi oscillator-based detector
• Kraus decomposition for chaotic environments
• Manifold algorithmic errors in quantum computers with static internal imperfections
• Quantum pathology of static internal imperfections in flawed quantum computers
• Mean field master equation for self-interacting baths II: extension to time-dependent subsystem Hamiltonians

Cited by in corpus (3)

• Exact reduced dynamics for a qubit in a precessing magnetic field and in the contact with a heat-bath
• Manifold algorithmic errors in quantum computers with static internal imperfections
• Temperature crossover of decoherence rates in chaotic and regular bath dynamics