Hypothesis testing with open quantum systems

Abstract

Using a quantum circuit model we derive the maximal ability to distinguish which of several candidate Hamiltonians describe an open quantum system. This theory, in particular, provides the maximum information retrievable from continuous quantum measurement records, available when a quantum system is perturbatively coupled to a broadband quantized environment.

Accepted version; figures improved, example added with a spin squeezed ensemble

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Cited by in corpus (14)

• Quantum thermodynamic uncertainty relation for continuous measurement
• Bayesian parameter estimation by continuous homodyne detection
• Readout of Majorana Qubits
• Irreversibility, Loschmidt echo, and thermodynamic uncertainty relation
• Thermodynamic uncertainty relation for quantum first passage process
• Multi-state and multi-hypothesis discrimination with open quantum systems
• A tensor network approach to sensing quantum light-matter interactions
• Hypothesis testing with a continuously monitored quantum system
• Interplay of classical and quantum dynamics in a thermal ensemble of atoms
• Qubit readout and quantum sensing with pulses of quantum radiation
• Experimental Quantum Probing Measurements With No Knowledge on the System-Probe Interaction
• Sequential hypothesis testing for continuously-monitored quantum systems
• Binary Discrimination in Quantum Systems via Hypothesis Testing
• Quantum communications in continuous variable systems