Boson sampling from interacting atom-photon systems: Nonlinear quantum simulator versus linear interferometer
ORAL
Abstract
We propose boson sampling from a system of interacting Bose–Einstein-condensed atoms and photons in a multi-mode cavity as a testbed for studying manifestations of quantum systems’ advantage over classical computers [V.V. Kocharovsky, Entropy 26, 926 (2024); PRA 106, 063312 (2022)]. Interatomic collisions and atom–photon scattering provide nonlinearity and excite atoms and photons into squeezed entangled states. Contrary to previously studied boson sampling in linear interferometers, there is no need in external on-demand sources of photons in nonclassical (squeezed, Fock or alike) states. Moreover, there are no losses exponentially growing with the number of optical channels. We calculate a joint probability distribution of atom and photon numbers using the hafnian master theorem [V.V. Kocharovsky et al., Linear Algebra Appl. 651, 144 (2022)] and show that the statistics is ♯P-hard for computing. We suggest proof-of-principle experiments on atomic and hybrid boson sampling which could lead to the first observation of quantum advantage in cold-atom and cavity-QED systems.
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Publication: 1. V. V. Kocharovsky, Hybrid boson sampling, Entropy 26, 926 (2024).
2. V. V. Kocharovsky, Vl. V. Kocharovsky, and S. V. Tarasov, Atomic boson sampling in a Bose–Einstein-condensed gas, Phys. Rev. A 106, 063312 (2022).
3. V. V. Kocharovsky, Vl. V. Kocharovsky, and S. V. Tarasov, The hafnian master theorem, Linear Algebra Appl. 651, 144–161 (2022).
4. V. V. Kocharovsky, Vl. V. Kocharovsky, W. D. Shannon, and S. V. Tarasov, Towards the simplest model of quantum supremacy: Atomic boson sampling in a box trap, Entropy 25, 1584 (2023).
5. V. V. Kocharovsky, Vl. V. Kocharovsky, W. D. Shannon, and S. V. Tarasov, Multi-qubit Bose–Einstein condensate trap for atomic boson sampling, Entropy 24, 1771 (2022).
Presenters
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Vitaly Kocharovsky
- Texas A&M University