Lower Bound on Irreversibility in Thermal Relaxation of Open Quantum Systems

Vu, Tan Van; Hasegawa, Yoshihiko

doi:10.1103/physrevlett.127.190601

Cited by 17 publications

(13 citation statements)

References 82 publications

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“…This is because the simulation approach preserves a probabilistic interpretation for the system even for open systems, generating the evolution of the system probabilities from the diagonal elements of a density. The investigation of possible quantum advantage in such open system applications will be an interesting topic for future study, for example to investigate the quantum speed limit of simulating an open quantum system [19,20].…”

Section: Quantum Commutation Simulation For Two Lindblad Termsmentioning

confidence: 99%

Commutation simulator for open quantum dynamics

Joo¹,

Spiller²

2022

Preprint

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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 ρ(t). Using generalised quantum commutation simulators, we can directly compute the expectation value of the commutation relation and thus of the rate of change of ρ(t). 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.

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Section: Quantum Commutation Simulation For Two Lindblad Termsmentioning

confidence: 99%

Commutation simulator for open quantum dynamics

Joo¹,

Spiller²

2022

Preprint

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“…A typical thermodynamic phenomenon of entropy production [ 10 ] is the irreversibility [ 70 , 73 , 74 , 75 ]. Generally, the irreversibility is embodied by the second law of thermodynamics, and bounded by the principle of entropy increase.…”

Section: Information-theoretical Bound Of Irreversibility In Quantum ...mentioning

confidence: 99%

“…However, the bound imposed by the second law is loose and trivial, and thereby some tighter bounds about irreversibility have been presented, such as, the geometrical bounds on irreversibility [ 73 , 75 ] and the information-theoretical bound [ 70 ]. Furthermore, the information-theoretical bound derived in the classical standard framework of stochastic thermodynamics was proven to be violated due to coherence involved in quantum systems [ 79 ], and thus theoretical exploration was generalized to quantum systems [ 74 ].…”

Section: Information-theoretical Bound Of Irreversibility In Quantum ...mentioning

confidence: 99%

“…The thermal relaxation process in a Markovian open quantum system is then described by Ref. [ 74 ], where, based on the Lindblad master equation and unitary evolution operator, a lower bound of the entropy production, as shown in Figure 16 a, is stated as [ 74 ]

where the unitary

and projection measurement relative entropy

with

denotes the eigenbasis of

. This bound also strengthens the Clausius inequality in the conventional second law of thermodynamics and is geometrical, tight, and can be saturated.…”

Section: Information-theoretical Bound Of Irreversibility In Quantum ...mentioning

confidence: 99%

“…Another bridge between information theory and thermodynamics is the information-theoretical bound on irreversibility [ 70 ] through the mutual information or relative entropy in the information theory [ 71 , 72 ]. The bounds on irreversibility occur in the open quantum system [ 73 ] and thermal relaxation process [ 74 ], showing the geometric properties [ 70 , 75 ] of the relative entropy. Due to the negative entropy property of quantum systems induced by coherence [ 76 ], entanglement [ 77 ], and quantum correlation [ 78 ], the information-theoretical bound, quantized by the classical Kullback–Leibler divergence, can be violated in the quantum relaxation process [ 74 , 79 ], which has experimentally witnessed the trapped-ion experiment [ 79 ].…”

Section: Introductionmentioning

confidence: 99%

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Verification of Information Thermodynamics in a Trapped Ion System

Yan

Wang

et al. 2022

Entropy

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Information thermodynamics has developed rapidly over past years, and the trapped ions, as a controllable quantum system, have demonstrated feasibility to experimentally verify the theoretical predictions in the information thermodynamics. Here, we address some representative theories of information thermodynamics, such as the quantum Landauer principle, information equality based on the two-point measurement, information-theoretical bound of irreversibility, and speed limit restrained by the entropy production of system, and review their experimental demonstration in the trapped ion system. In these schemes, the typical physical processes, such as the entropy flow, energy transfer, and information flow, build the connection between thermodynamic processes and information variation. We then elucidate the concrete quantum control strategies to simulate these processes by using quantum operators and the decay paths in the trapped-ion system. Based on them, some significantly dynamical processes in the trapped ion system to realize the newly proposed information-thermodynamic models is reviewed. Although only some latest experimental results of information thermodynamics with a single trapped-ion quantum system are reviewed here, we expect to find more exploration in the future with more ions involved in the experimental systems.

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