Single-shot Quantum Signal Processing Interferometry

• URL: http://arxiv.org/abs/2311.13703v2
• Date: Sat, 13 Jul 2024 19:00:27 GMT
• Title: Single-shot Quantum Signal Processing Interferometry
• Authors: Jasmine Sinanan-Singh, Gabriel L. Mintzer, Isaac L. Chuang, Yuan Liu,
• Abstract summary: We present a general algorithmic framework, quantum signal processing interferometry (QSPI), for quantum sensing. We use our QSPI sensing framework to make efficient binary decisions on a displacement channel in the single-shot limit.
• Score: 3.431120541553662
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum systems of infinite dimension, such as bosonic oscillators, provide vast resources for quantum sensing. Yet, a general theory on how to manipulate such bosonic modes for sensing beyond parameter estimation is unknown. We present a general algorithmic framework, quantum signal processing interferometry (QSPI), for quantum sensing at the fundamental limits of quantum mechanics by generalizing Ramsey-type interferometry. Our QSPI sensing protocol relies on performing nonlinear polynomial transformations on the oscillator's quadrature operators by generalizing quantum signal processing (QSP) from qubits to hybrid qubit-oscillator systems. We use our QSPI sensing framework to make efficient binary decisions on a displacement channel in the single-shot limit. Theoretical analysis suggests the sensing accuracy, given a single-shot qubit measurement, scales inversely with the sensing time or circuit depth of the algorithm. We further concatenate a series of such binary decisions to perform parameter estimation in a bit-by-bit fashion. Numerical simulations are performed to support these statements. Our QSPI protocol offers a unified framework for quantum sensing using continuous-variable bosonic systems beyond parameter estimation and establishes a promising avenue toward efficient and scalable quantum control and quantum sensing schemes beyond the NISQ era.

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