The entropic cost of quantum generalized measurements

Year: 2018

Authors: Mancino L., Sbroscia M., Roccia E., Gianani I., Somma F., Mataloni P., Paternostro M., Barbieri M.

Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy; Univ Roma La Sapienza, Dipartimento Fis, Quantum Opt Grp, Piazzale Aldo Moro 5, I-00185 Rome, Italy; Queens Univ Belfast, Sch Math & Phys, Ctr Theoret Atom Mol & Opt Phys, Belfast BT7 1NN, Antrim, North Ireland; CNR, Ist Nazl Ott, Largo E Fermi 6, I-50125 Florence, Italy.

Abstract: Landauer’s principle introduces a symmetry between computational and physical processes: erasure of information, a logically irreversible operation, must be underlain by an irreversible transformation dissipating energy. Monitoring micro-and nano-systems needs to enter into the energetic balance of their control; hence, finding the ultimate limits is instrumental to the development of future thermal machines operating at the quantum level. We report on the experimental investigation of a lower bound to the irreversible entropy associated to generalized quantum measurements on a quantum bit. We adopted a quantum photonics gate to implement a device interpolating from the weakly disturbing to the fully invasive and maximally informative regime. Our experiment prompted us to introduce a bound taking into account both the classical result of the measurement and the outcoming quantum state; unlike previous investigation, our entropic bound is based uniquely on measurable quantities. Our results highlight what insights the information-theoretic approach provides on building blocks of quantum information processors.

Journal/Review: NPJ QUANTUM INFORMATION

Volume: 4      Pages from: 20-1  to: 20-6

More Information: The authors thank Roberto Raimondi, Maria Antonietta Ricci, and Fabio Bruni for useful discussions and comments, Paolo Aloe for technical assistance, Carlo Meneghini and Francesca Paolucci for the loan of scientific equipment. M.P. is supported by the EU Collaborative Project TherMiQ (Grant Agreement 618074), the Julian Schwinger Foundation (grant Nr. JSF-14-7-0000), the Royal Society Newton Mobility Grant (grant NI160057), the DfE-SFI Investigator Programme (grant 15/IA/2864). M.B. is supported by a Rita Levi-Montalcini fellowship of MIUR. Part of this work was supported by COST Action MP1209 Thermodynamics in the quantum regime. This project has reveived funding from the European Commission Horizon 2020 research and innovation programme under grant agreement N. 665148.
KeyWords: Maxwells Demon; Information; Computation; Principle; Physics; Spin
DOI: 10.1038/s41534-018-0069-z

Citations: 13
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