Efficiently simulating the work distribution of multiple identical bosons with boson sampling
arXiv:2201.01562 · doi:10.1007/s11467-023-1366-3
Abstract
Boson sampling has been theoretically proposed and experimentally demonstrated to show quantum computational advantages. However, it still lacks the deep understanding of the practical applications of boson sampling. Here we propose that boson sampling can be used to efficiently simulate the work distribution of multiple identical bosons. We link the work distribution to boson sampling and numerically calculate the transition amplitude matrix between the single-boson eigenstates in a one-dimensional quantum piston system, and then map the matrix to a linear optical network of boson sampling. The work distribution can be efficiently simulated by the output probabilities of boson sampling using the method of the grouped probability estimation. The scheme requires at most a polynomial number of the samples and the optical elements. Our work opens up a new path towards the calculation of complex quantum work distribution using only photons and linear optics.
References in corpus (13)
- Quantum computational advantage using photons
- Fluctuation theorems: Work is not an observable
- Photonic Boson Sampling in a Tunable Circuit
- Quantum circuits with many photons on a programmable nanophotonic chip
- Boson sampling with 20 input photons in 60-mode interferometers at state spaces
- Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
- Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
- Holevo's bound from a general quantum fluctuation theorem
- Many-particle interference beyond many-boson and many-fermion statistics
- A proposal for a scalable universal bosonic simulator using individually trapped ions
- Interference of Identical Particles and the Quantum Work Distribution
- Cryptographic One-way Function Based on Boson Sampling
- Understanding quantum work in a quantum many-body system