Photonic Simulation of Localization Phenomena Using Boson Sampling
arXiv:2410.13938 · doi:10.1103/PhysRevA.111.032622
Abstract
Quantum simulation in its current state faces experimental overhead in terms of physical space and cooling. We propose boson sampling as an alternative compact synthetic platform performing at room temperature. Identifying the capability of estimating matrix permanents, we explore the applicability of boson sampling for tackling the dynamics of quantum systems without having access to information about the full state vector. By mapping the time-evolution unitary of a Hamiltonian onto an interferometer via continuous-variable gate decompositions, we present proof-of-principle results of localization characteristics of a single particle. We study the dynamics of one-dimensional tight-binding systems in the clean and quasiperiodic-disordered limits to observe Bloch oscillations and dynamical localization, and the delocalization-to-localization phase transition in the Aubry- Andre-Harper model respectively. Our computational results obtained using boson sampling are in complete agreement with the dynamical and static results of non-interacting tight-binding systems obtained using conventional numerical calculations. Additionally, our study highlights the role of number of sampling measurements or shots for simulation accuracy.
14 pages, 11 figures
References in corpus (61)
- Array Programming with NumPy
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum Simulation
- Anderson Transitions
- Many-body localization, thermalization, and entanglement
- Anderson localization of a non-interacting Bose-Einstein condensate
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Boson Sampling on a Photonic Chip
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Experimental Boson Sampling
- Experimental boson sampling in arbitrary integrated photonic circuits
- Photonic Boson Sampling in a Tunable Circuit
- Quantum circuits with many photons on a programmable nanophotonic chip
- Quantum transport simulations in a programmable nanophotonic processor
- Gaussian Boson Sampling
- Many-Body Localization in a Quasiperiodic System
- Boson Sampling for Molecular Vibronic Spectra
- Strawberry Fields: A Software Platform for Photonic Quantum Computing
- Boson Sampling from Gaussian States
- Emulating many-body localization with a superconducting quantum processor
- Exploring dynamic localization with a Bose-Einstein condensate
- BosonSampling with single-photon Fock states from a bright solid-state source
- Quantum Sampling Problems, BosonSampling and Quantum Supremacy
- A detailed study of Gaussian Boson Sampling
- No imminent quantum supremacy by boson sampling
- Sufficient Conditions for Efficient Classical Simulation of Quantum Optics
- Quantum computers as universal quantum simulators: state-of-art and perspectives
- Observation of energy resolved many-body localization
- Universal behavior beyond multifractality in quantum many-body systems
- Stringent and efficient assessment of Boson-Sampling devices
- Phase transitions in a non-Hermitian Aubry-André-Harper model
- Applications of Near-Term Photonic Quantum Computers: Software and Algorithms
- Generalized multi-photon quantum interference
- Many-body physics in the NISQ era: quantum programming a discrete time crystal
- Localization transitions and mobility edges in coupled Aubry-André chains
- What can quantum optics say about computational complexity theory?
- Quantum transport and localization in 1d and 2d tight-binding lattices
- Climbing Mount Scalable: Physical-Resource Requirements for a Scalable Quantum Computer
- Hamiltonian Simulation Algorithms for Near-Term Quantum Hardware
- Fraction of delocalized eigenstates in the long-range Aubry-André-Harper model
- Observation of critical phase transition in a generalized Aubry-André-Harper model on a superconducting quantum processor with tunable couplers
- Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices
- A universal programmable Gaussian Boson Sampler for drug discovery
- Observation of Bloch Oscillations and Wannier-Stark Localization on a Superconducting Processor
- Study of counterintuitive transport properties in the Aubry-André-Harper model via entanglement entropy and persistent current
- Quantum bath suppression in a superconducting circuit by immersion cooling
- Continuous-variable gate decomposition for the Bose-Hubbard model
- Exact and approximate continuous-variable gate decompositions
- Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
- Cryptographic One-way Function Based on Boson Sampling
- Entanglement entropy and out-of-time-order correlator in the long-range Aubry-André-Harper model
- Localization persisting under aperiodic driving
- Characteristic length scales from entanglement dynamics in electric-field-driven tight-binding chains
- `Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic field
- The scaling of boson sampling experiments
- Dynamics of spectral correlations in the entanglement Hamiltonian of the Aubry-André-Harper model
- Room-temperature photonic quantum computing in integrated silicon photonics with germanium-silicon single-photon avalanche diodes
- Quantum Simulation with a Boson Sampling Circuit
- Photonic quantum data locking
- Generalized Aubry-Andre-Harper Models in Optical Superlattices