Analog control of open quantum systems under arbitrary decoherence

Abstract

We derive and investigate a general non-Markovian equation for the time-dependence of a Hamiltonian that maximizes the fidelity of a desired quantum gate on any finite-dimensional quantum system in the presence of arbitrary bath and noise sources. The method is illustrated for a single-qubit gate implemented on a three-level system.

8 pages, including 4 figures and an appendix

References in corpus (17)

• Squeezing and entanglement in a Bose-Einstein condensate
• Optimized Dynamical Decoupling in a Model Quantum Memory
• Fault-Tolerant Quantum Dynamical Decoupling
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Dynamically Error-Corrected Gates for Universal Quantum Computation
• Performance of Deterministic Dynamical Decoupling Schemes: Concatenated and Periodic Pulse Sequences
• Optimal Dynamical Decoherence Control of a Qubit
• Holonomic quantum computation in decoherence-free subspaces
• Universal dynamical decoherence control of noisy single-and multi-qubit systems
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• Concatenated Control Sequences based on Optimized Dynamic Decoupling
• Preventing Multipartite Disentanglement by Local Modulations
• Master Equation and Control of an Open Quantum System with Leakage
• Direct experimental evidence of free fermion antibunching
• Intrinsic phonon decoherence and quantum gates in coupled lateral quantum dot charge qubits
• Does temperature favor quantum coherence of a dissipative two-level system?

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