2020
DOI: 10.1103/physreva.101.042106
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Thermodynamic analysis of quantum error-correcting engines

Abstract: Quantum error correcting codes can be cast in a way which is strikingly similar to a quantum heat engine undergoing an Otto cycle. In this paper we strengthen this connection further by carrying out a complete assessment of the thermodynamic properties of 4-strokes operator-based error correcting codes. This includes an expression for the entropy production in the cycle which, as we show, contains clear contributions stemming from the different sources of irreversibility. To illustrate our results, we study a … Show more

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Cited by 11 publications
(5 citation statements)
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“…Using QHEs for thermometry [202] and magnetometry [203] has been proposed. Other potential impact of quantum fuels can be envisioned in the fields of quantum batteries [204,205], and thermal quantum annealing [205][206][207] or error correction [115]. Besides, it can be a promising direction to explore quantum fuels for topological quantum heat engines [208,209].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Using QHEs for thermometry [202] and magnetometry [203] has been proposed. Other potential impact of quantum fuels can be envisioned in the fields of quantum batteries [204,205], and thermal quantum annealing [205][206][207] or error correction [115]. Besides, it can be a promising direction to explore quantum fuels for topological quantum heat engines [208,209].…”
Section: Discussionmentioning
confidence: 99%
“…More specific information-theoretic expressions for quantum thermodynamical second laws can be given as a result of data processing inequality, which becomes equivalent to the statement of positivity of entropy production σ = ∆S − Q/T [112][113][114], with S = −Tr(ρ log ρ) being the von Neumann entropy. Relation of information-theoretic second laws to the mutual information is significant for quantum technology applications such as quantum error correction [115] and minimal energetic costs of information processing [116].…”
Section: Family Of Second Laws Is Expressed In Terms Of Inequalities mentioning
confidence: 99%
“…Quantum Maxwell's demons, quantum engines, fine thermometry experiments, measurement of entropy production were implemented on a wide range of experimental platforms: ion traps [27][28][29], single electron transistors [30], quantum photonics [31], Nitrogen-Vacancy centers [32,33], Rydberg atoms [34], superconducting circuits [35][36][37][38][39], Nuclear Magnetic Resonance [40], cold atoms [41,42], levitated nanoparticles [43], SiN membranes [44], including prototypes of quantum processors [45]... All experiments require an exquisite control of quantum systems over environmental perturbations, since most of them were actually designed for quantum technologies -a first important step to bridge the gap with quantum thermodynamics. In this spirit, there have already been a few attempts to analyze the energetics of quantum computing [46], single quantum gates or circuits [31,[47][48][49], the relation between noise and performances in quantum amplifiers [50] and communication channels [51], the thermodynamic cost of quantum operations [52], and quantum measurements [53], thermodynamic analyzes of quantum error correcting codes [54], or adiabatic computing [55,56]. But how to turn these punctual interactions into a macroscopic and impactful synergy?…”
Section: Quantum Thermodynamics For Quantum Technologiesmentioning
confidence: 99%
“…Modeling of the error correction models by the physical system to explain it thermodynamically needs further investigation. In a recent work [205], the authors have shown that there a similarity between the quantum heat engine and quantum error correction codes. They have strengthened their intuition by making a complete analysis of the thermodynamic properties of the quantum engine based error correction codes.…”
Section: Thermodynamics Of Algorithmmentioning
confidence: 99%