Self-consistency of the two-point energy measurement protocol

@article{Mohammady2020SelfconsistencyOT,
  title={Self-consistency of the two-point energy measurement protocol},
  author={M. Hamed Mohammady},
  journal={arXiv: Quantum Physics},
  year={2020}
}
  • M. Mohammady
  • Published 17 December 2020
  • Physics
  • arXiv: Quantum Physics
The Two-Point energy Measurement (TPM) protocol defines the work done on a system undergoing unitary evolution as the difference in energy measurement outcomes performed before and after such evolution. By noting that energy measurements on the system can be modelled as a unitary premeasurement interaction between the system and a measurement apparatus, followed by measurement of the apparatus by a pointer observable, we show that it is possible to design a measurement scheme for the TPM… 
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References

SHOWING 1-10 OF 74 REFERENCES
Quantum Theory of Measurement
Quantum mechanics was discovered sixty-one years ago in 1925. It began with Heisenberg’s introduction of matrix mechanics, which was followed by Schrodinger finding his wave equation. Then Dirac gave
The Mathematical Language of Quantum Theory
This book presents a clear and detailed exposition of the fundamental concepts of quantum theory: states, effects, observables, channels and instru- ments. It introduces several up-to-date topics,
When is a quantum measurement
The measurement of a quantum system is not consummated until irreversible processes have destroyed all phase coherence between different possible outcomes of that measurement. It is inconsistent to
Quantum Jarzynski Equality in Open Quantum Systems from the One-Time Measurement Scheme.
TLDR
A modified quantum Jarzynski equality and the principle of maximum work with respect to the guessed quantum work are derived by exploiting the one-time measurement scheme, which only requires an initial energy measurement on the system alone.
Quantum Reality
Found
  • C. Ross
  • Medicine
    The Dental register
  • 1869
Concepts of work in autonomous quantum heat engines
TLDR
This work analyzes work quantifiers for a heat-pumped three-level maser and derives the respective engine efficiencies, finding that in the classical limit of strong maser intensities the engine efficiency converges towards the Scovil--Schulz-DuBois maser efficiency, irrespective of the work quantifier.
Measurement-based formulation of quantum heat engines
There exist two formulations for quantum heat engine that models an energy transfer between two microscopic systems. One is semi-classical scenario, and the other is full quantum scenario. The former
Repeatable measurements in quantum theory: Their role and feasibility
Recent advantages in experimental quantum physics call for a careful reconsideration of the measurement process in quantum mechanics. In this paper we describe the structure of the ideal measurements
Quantum measuring processes of continuous observables
The purpose of this paper is to provide a basis of theory of measurements of continuous observables. We generalize von Neumann’s description of measuring processes of discrete quantum observables in
...
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