Quasiprobability fluctuation theorem behind the spread of quantum information

Abstract

Information spreads in time. For example, correlations dissipate when the correlated system locally couples to a third party, such as the environment. This simple but important fact forms the known quantum data-processing inequality. Here we theoretically uncover the quantum fluctuation theorem behind the quantum informational inequality. The fluctuation theorem quantitatively predicts the statistics of the underlying stochastic quantum process. To fully capture the quantum nature, the fluctuation theorem established here is extended to the quasiprobability regime. We also experimentally apply an interference-based method to measure the amplitudes composing the quasiprobability and verify our established fluctuation theorem by the IBM quantum computer.

Published version, 13 pages, 4 figures

References in corpus (38)

• A nonequilibrium equality for free energy differences
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• The role of quantum information in thermodynamics --- a topical review
• The entropy of Hawking radiation
• Quantum data processing and error correction
• The Physics of Maxwell's demon and information
• Leggett-Garg Inequalities
• Irreversible entropy production, from quantum to classical
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• Classical and Quantum Fluctuation Theorems for Heat Exchange
• Extracting quantum work statistics and fluctuation theorems by single qubit interferometry
• Quantum conditional mutual information and approximate Markov chains
• Estimating outcome probabilities of quantum circuits using quasiprobabilities
• Kochen-Specker Contextuality
• On the advantages of using relative phase Toffolis with an application to multiple control Toffoli optimization
• Jarzynski-like equality for the out-of-time-ordered correlator
• Information-to-work conversion by Maxwell's demon in a superconducting circuit-QED system
• The quasiprobability behind the out-of-time-ordered correlator
• The significance of the imaginary part of the weak value
• Quantum Advantage in Postselected Metrology
• Weak Values are Interference Phenomena
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• On complete positivity, Markovianity, and the quantum data-processing inequality, in the presence of initial system-environment correlations
• Using a quantum work meter to test non-equilibrium fluctuation theorems
• Quantum fluctuation theorems beyond two-point measurements
• A quasiprobability distribution for heat fluctuations in the quantum regime
• Negative quasiprobabilities enhance phase estimation in quantum-optics experiment
• Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution
• Experimental verification of fluctuation relations with a quantum computer
• Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme
• Statistical properties of entropy production derived from fluctuation theorems
• Fluctuation theorems from Bayesian retrodiction
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks
• Conditional entropy production and quantum fluctuation theorem of dissipative information: Theory and experiments
• Preparing tunable Bell-diagonal states on a quantum computer
• Fluctuation Theorems for multitime processes

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• Quasiprobabilities in quantum thermodynamics and many-body systems
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• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• Entanglement signature in quantum work statistics in the slow-driving regime