End-point measurement approach to assess quantum coherence in energy fluctuations

Year: 2021

Authors: Gherardini S., Belenchia A., Paternostro M., Trombettoni A.

Autors Affiliation: Department of Physics and Astronomy & LENS, University of Florence, via G. Sansone 1, I-50019 Sesto Fiorentino, Italy; CNR-IOM DEMOCRITOS Simulation Center and SISSA, Via Bonomea 265, I-34136 Trieste, Italy. Institut fur Theoretische Physik, Eberhard-Karls-Universitdt T´bingen, 72076 Tubingen, Germany. 3) Centre for Theoretical Atomic, Molecular, and Optical Physics, School of Mathematics and Physics, Queen´s University Belfast, Belfast BT7 1NN, United Kingdom. 4) Department of Physics, University of Trieste, Strada Costiera 11, I-34151 Trieste, Italy; CNR-IOM DEMOCRITOS Simulation Center and SISSA, Via Bonomea 265, I-34136 Trieste, Italy.

Abstract: We discuss the role of quantum coherence in the energy fluctuations of open quantum systems. To this aim, we introduce a protocol to which we refer as the end-point measurement scheme, allowing us to define the statistics of energy changes as a function of energy measurements performed only after the evolution of the initial state. At the price of an additional uncertainty on the initial energies, this approach prevents the loss of initial quantum coherences and enables the estimation of their effects on energy fluctuations. We demonstrate our findings by running an experiment on the IBM Quantum Experience superconducting qubit platform.


Volume: 104 (5)      Pages from: L050203  to:

More Information: The authors gratefully acknowledge L. Buffoni, N. Fabbri, S. Hernandez-Gomez, G. T. Landi, M. Lostaglio, S. Martina, and F. Poggiali for fruitful discussions and comments. This work was supported by the MISTI Global Seed Funds MIT-FVG Collaboration Grant “NV centers for the Test of the Quantum Jarzynski Equality (NVQJE) ,” H2020-FETOPEN-2018-2020 Project PATHOS (Grant No. 828946) , UNIFI Grant Q-CODYCES, the MSCA IF Project pERFEcTO (Grant No. 795782) ,the DeutscheForschungsgemeinschaft (DFG, German Re-search Foundation) Project No. BR 5221/4-1, the H2020-FETOPEN-2018-2020 Project TEQ (Grant No. 766900) , the DfE-SFI Investigator Programme (Grant No. 15/IA/2864) , COST Action CA15220, the Royal Society Wolfson Re-search Fellowship (RSWFR3183013) , the Royal Society International Exchanges Programme (IECR2192220) , the Leverhulme Trust Research Project Grant (Grant No. RGP-2018-266) , the UK EPSRC (Grant No. EP/T028106/1) , and the CNR/RS (London) Project “Testing Fundamental Theo-ries with Ultracold Atoms.” We acknowledge the use of IBM Quantum services for this work. The views expressed are those of the authors and do not reflect the official policy or position of IBM or the IBM Quantum team.
KeyWords: Quantum Thermodynamics; COUNTING STATISTICS
DOI: 10.1103/PhysRevA.104.L050203