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All Shook Up: Fluctuations, Maxwell’s Demon and the Thermodynamics of Computation

Beyond Landauer Erasure

School of Physics and Astronomy, University of Glasgow, Glasgow G12 8QQ, UK
Centre for Quantum Computation and Communication Technology (Australian Research Council), Centre for Quantum Dynamics, Griffith University, Brisbane, Queensland 4111, Australia
Author to whom correspondence should be addressed.
Entropy 2013, 15(11), 4956-4968;
Received: 1 August 2013 / Revised: 29 October 2013 / Accepted: 31 October 2013 / Published: 13 November 2013
(This article belongs to the Special Issue Maxwell’s Demon 2013)
In thermodynamics, one considers thermal systems and the maximization of entropy subject to the conservation of energy. A consequence is Landauer’s erasure principle, which states that the erasure of one bit of information requires a minimum energy cost equal to kT ln(2), where T is the temperature of a thermal reservoir used in the process and k is Boltzmann’s constant. Jaynes, however, argued that the maximum entropy principle could be applied to any number of conserved quantities, which would suggest that information erasure may have alternative costs. Indeed, we showed recently that by using a reservoir comprising energy degenerate spins and subject to conservation of angular momentum, the cost of information erasure is in terms of angular momentum rather than energy. Here, we extend this analysis and derive the minimum cost of information erasure for systems where different conservation laws operate. We find that, for each conserved quantity, the minimum resource needed to erase one bit of memory is λ-1 ln(2), where λ is related to the average value of the conserved quantity. The costs of erasure depend, fundamentally, on both the nature of the physical memory element and the reservoir with which it is coupled. View Full-Text
Keywords: thermodynamics; information erasure; maximum entropy principle; spin reservoir thermodynamics; information erasure; maximum entropy principle; spin reservoir
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MDPI and ACS Style

Barnett, S.M.; Vaccaro, J.A. Beyond Landauer Erasure. Entropy 2013, 15, 4956-4968.

AMA Style

Barnett SM, Vaccaro JA. Beyond Landauer Erasure. Entropy. 2013; 15(11):4956-4968.

Chicago/Turabian Style

Barnett, Stephen M., and Joan A. Vaccaro. 2013. "Beyond Landauer Erasure" Entropy 15, no. 11: 4956-4968.

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