Efficient Quantum Measurement Engines

Elouard, Cyril; Jordan, Andrew N.

doi:10.1103/physrevlett.120.260601

Cited by 126 publications

(101 citation statements)

References 26 publications

(23 reference statements)

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“…As was noted in Ref. [26], the ideal case of perfect energy to work conversion is when the post measurement state of the system is prepared in the ground state of the next engine cycle stage, and in the unsuccessful case, the state is left undisturbed. We will see that while the first is possible here, the second is not.…”

Section: Atom and Piston Enginementioning

confidence: 99%

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Quantum measurement engines and their relevance for quantum interpretations

Jordan

Elouard

Auffèves

2019

Quantum Stud.: Math. Found.

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This article presents recent progress in the theory of quantum measurement engines and discusses the implications of them for quantum interpretations and philosophical implications of the theory. Several new measurement engine designs are introduced and analyzed: We discuss a feedback based atom-and-piston engine that sharply associates all work with successful events and all quantum heat with the failed events, as well as an unconditional but coherent qubit engine that can attain perfect efficiency. Any quantum measurement of an observable that does not commute with the Hamiltonian will necessarily change the energy of the system. We discuss different ways to extract that energy, the efficiency and work production of that process.

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Section: Atom and Piston Enginementioning

confidence: 99%

“…A system with continuous degrees of system was considered in Ref. [26]. There, a particle in a gravitational potential is supported by the floor, which is movable with a pulley and counterweight (i.e.…”

Section: B Elevatormentioning

confidence: 99%

Quantum measurement engines and their relevance for quantum interpretations

Jordan

Elouard

Auffèves

2019

Quantum Stud.: Math. Found.

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“…It has a finite positive minimum value E 0 meas min D > and as pointed out in [14] should not be taken for granted, as it may significantly outweigh the ideal expectation W á ñ L in equation (2). Particular attention should be paid when it comes to machines using measurements as a means of injecting free energy into the system [43][44][45], as such costs need to be included in an evaluation of the machine's efficiency.…”

Section: Estimating Work With Non-ideal Measurementsmentioning

confidence: 99%

Work estimation and work fluctuations in the presence of non-ideal measurements

et al. 2019

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From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in non-equilibrium processes and for the fundamental structure of the work fluctuations when one assumes that the measurements are non-ideal. We show that obtaining work estimates and their statistical moments at finite work cost implies an imperfection of the estimates themselves: more accurate estimates incur higher costs. Our results provide a qualitative relation between the cost of obtaining information about work and the trustworthiness of this information. Moreover, we show that Jarzynski's equality can be maintained exactly at the expense of a correction that depends only on the system's energy scale, while the more general fluctuation relation due to Crooks no longer holds when the cost of the work estimation procedure is finite. We show that precise links between dissipation and irreversibility can be extended to the non-ideal situation.

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“…Beyond STA see e.g. [15,24,25] as examples of the need to account for all the energy flows present in a given process.…”

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confidence: 99%

Vanishing efficiency of a speeded-up ion-in-Paul-trap Otto engine

Tobalina

Lizuain

Muga

2019

EPL

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We assess the energy cost of shortcuts to adiabatic expansions or compressions of a harmonic oscillator, the power strokes of a quantum Otto engine. Difficulties to identify the cost stem from the interplay between different parts of the total system (the primary system -the particle-, and the control system) and definitions of work (exclusive and inclusive). While attention is usually paid to the inclusive work of the primary system, we identify the energy cost as the exclusive work of the total system, which, for a clearcut scale disparity between primary and control systems, coincides with the exclusive work for the control system. This energy cost makes the efficiency of the engine zero. For an ion in a Paul trap, the Paul trap fixes the gauge for the primary system, resulting in a counterintuitive evolution of its inclusive power and internal energy. Conditions for which inclusive power of the primary system and exclusive power control system are proportional are found.Introduction. One of the challenges to realize quantum technologies and devices that outperform classical counterparts, is to achieve exhaustive control over the state and dynamics of quantum systems. To this effect, Shortcuts to Adiabaticity (STA) [1,2], stand as a useful toolbox, as they mimic the result of a slow adiabatic evolution avoiding the drawbacks of long process times, such as decoherence. An open question is to determine their energy cost.

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Efficient Quantum Measurement Engines

Cited by 126 publications

References 26 publications

Quantum measurement engines and their relevance for quantum interpretations

Quantum measurement engines and their relevance for quantum interpretations

Work estimation and work fluctuations in the presence of non-ideal measurements

Vanishing efficiency of a speeded-up ion-in-Paul-trap Otto engine

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