Entanglement in the full state vector of boson sampling
arXiv:2210.09915 · doi:10.21468/SciPostPhys.15.1.007
Abstract
The full state vector of boson sampling is generated by passing S single photons through beam splitters of M modes. The initial Fock state is expressed withgeneralized coherent states, and an exact application of the unitary evolution becomes possible. Due to the favorable polynomial scaling in M , we can investigate Renyi entanglement entropies for moderate particle and huge mode numbers. We find (almost) Renyi index independent symmetric Page curves with maximum entropy at equal partition. Furthermore, the maximum entropy as a function of mode index saturates as a function of M in the collision-free subspace case. The asymptotic value of the entropy increases linearly with S. Furthermore, we show that the build-up of the entanglement leads to a cusp at subsystem size equal to S in the asymmetric entanglement curve. The maximum entanglement is reached surprisingly early before the mode population is distributed over the whole system.
References in corpus (38)
- Area laws for the entanglement entropy - a review
- Efficient classical simulation of slightly entangled quantum computations
- Quantum computational advantage using photons
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Average Entropy of a Subsystem
- Measuring entanglement entropy through the interference of quantum many-body twins
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Probing entanglement in a many-body-localized system
- Gaussian Boson Sampling
- Measures and dynamics of entangled states
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Boson Sampling for Molecular Vibronic Spectra
- Ground-State Fidelity and Bipartite Entanglement in the Bose-Hubbard Model
- No imminent quantum supremacy by boson sampling
- Unitary circuits of finite depth and infinite width from quantum channels
- Renyi Entropy of the XY Spin Chain
- Universality in volume law entanglement of pure quantum states
- Beyond mean-field dynamics of small Bose-Hubbard systems based on the number-conserving phase space approach
- Interference of Identical Particles from Entanglement to Boson-Sampling
- What can quantum optics say about computational complexity theory?
- A Statistical Benchmark for BosonSampling
- Exact number conserving phase-space dynamics of the M-site Bose-Hubbard model
- Some remarks on the coherent-state variational approach to nonlinear boson models
- Classical simulation of lossy boson sampling using matrix product operators
- Generalized concurrence in boson sampling
- Generating Haar-uniform Randomness using Stochastic Quantum Walks on a Photonic Chip
- An introduction to boson-sampling
- Generating entanglement with linear optics
- Efficient computation of permanents, with applications to boson sampling and random matrices
- Simulating the Dynamics of Single Photons in BosonSampling Devices with Matrix Product States
- Page curves and typical entanglement in linear optics
- Quantum-inspired permanent identities
- Renyi Entropy of Interacting Thermal Bosons in Large Approximation
- Exact variational dynamics of the multimode Bose-Hubbard model based on SU(M) coherent states
- Monitoring-induced Entanglement Entropy and Sampling Complexity
- Entanglement properties and ground-state statistics of free bosons
- Condition on the Rényi Entanglement Entropy under Stochastic Local Manipulation
- Computing Permanents on a Trellis