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Quantum Turnstiles for Robust Measurement of Full Counting Statistics.

Rhine Samajdar1,2, Ewan McCulloch3,4, Vedika Khemani5

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We developed a scalable turnstile protocol to measure full counting statistics (FCS) in quantum systems. This method accurately captures FCS from various initial states and noisy dynamics, enabling stable tensor-network simulations.

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Area of Science:

  • Quantum physics
  • Condensed matter theory
  • Quantum information science

Background:

  • Full counting statistics (FCS) are crucial for understanding quantum transport phenomena.
  • Existing methods like quantum gas microscopy have limitations with certain initial states and noisy dynamics.
  • Accurate FCS measurement is essential for characterizing quantum systems and simulating their behavior.

Purpose of the Study:

  • To introduce a novel, scalable protocol for measuring full counting statistics (FCS).
  • To overcome limitations of existing FCS measurement techniques.
  • To enable stable numerical calculations of FCS using tensor-network methods.

Main Methods:

  • A scalable protocol utilizing an ancilla qubit as a 'turnstile' to track time-integrated particle flux.
  • The protocol captures FCS from number-indefinite initial states and in the presence of noisy dynamics.
  • Mapping FCS to a single-body observable for stable numerical computation with tensor-network methods.

Main Results:

  • The turnstile protocol faithfully captures FCS, even in challenging experimental conditions.
  • Demonstrated the computation of FCS for transferred magnetization in a Floquet Heisenberg spin chain.
  • Computed the FCS of charge transfer in random circuits, showcasing the method's versatility.

Conclusions:

  • The presented turnstile protocol offers a scalable and robust method for measuring full counting statistics.
  • This approach significantly advances the capabilities for studying quantum transport and simulating complex quantum systems.
  • The method's applicability to both experimental and numerical studies opens new avenues in quantum science.