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Work measurement as a generalized quantum measurement.

Augusto J Roncaglia1, Federico Cerisola2, Juan Pablo Paz1

  • 1Departamento de Física, FCEyN, UBA, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina and IFIBA CONICET, FCEyN, UBA, Ciudad Universitaria Pabellón 1, 1428 Buenos Aires, Argentina.

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PubMed
Summary
This summary is machine-generated.

We developed a new quantum measurement method to determine work done on quantum systems. This technique allows efficient sampling of work distributions, aiding in quantum free energy calculations.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Quantum information

Background:

  • Accurate measurement of work in quantum systems is crucial for understanding thermodynamics.
  • Existing methods for work measurement are often complex and indirect.
  • Sampling the probability distribution of work (P(w)) is essential for applying fluctuation theorems.

Purpose of the Study:

  • To introduce a novel, simplified method for measuring work performed on driven quantum systems.
  • To develop an efficient quantum algorithm for sampling the work distribution P(w).
  • To enable the estimation of free energies of quantum states using quantum computers.

Main Methods:

  • Utilizing a generalized quantum measurement (positive operator valued measure) at a single time.
  • Demonstrating that this measurement reduces to an ordinary projective measurement on an enlarged system.
  • Developing a quantum algorithm based on this measurement principle.

Main Results:

  • A straightforward method to measure work (w) on quantum systems is established.
  • The probability distribution of work P(w) can be efficiently sampled.
  • The proposed method demystifies work measurement in quantum mechanics.

Conclusions:

  • The new measurement technique simplifies work quantification in quantum systems.
  • Efficient P(w) sampling facilitates the application of fluctuation theorems.
  • This approach provides a pathway for quantum computation of free energies.