Realistic photon-number resolution in Gaussian boson sampling

• URL: http://arxiv.org/abs/2403.03184v2
• Date: Sun, 20 Oct 2024 19:51:27 GMT
• Title: Realistic photon-number resolution in Gaussian boson sampling
• Authors: I. S. Yeremenko, M. A. Dmytruk, A. A. Semenov,
• Abstract summary: Gaussian boson sampling (GBS) is a model of nonuniversal quantum computation that claims to demonstrate quantum supremacy with current technologies. We derive a the photocounting probability distribution in GBS schemes which is applicable for use with general detectors and photocounting techniques.
• Score: 0.0
• License:
• Abstract: Gaussian boson sampling (GBS) is a model of nonuniversal quantum computation that claims to demonstrate quantum supremacy with current technologies. This model entails sampling photocounting events from a multimode Gaussian state at the outputs of a linear interferometer. In this scheme, collision events -- those with more than one photon for each mode -- are infrequent. However, they are still used for validation purposes. Therefore, the limitation of realistic detectors to perfectly resolve adjacent photon numbers becomes pivotal. We derive a the photocounting probability distribution in GBS schemes which is applicable for use with general detectors and photocounting techniques. This probability distribution is expressed in terms of functionals of the field-quadrature covariance matrix, e.g., Hafnian and Torontonian in the well-known special cases of photon-number resolving and on-off detectors, respectively. Based on our results, we consider a GBS validation technique involving detectors with realistic photon-number resolution.

Related papers

• Gaussian boson sampling with click-counting detectors [4.437382576172235]
  We investigate the problem of sampling from a general multi-mode Gaussian state using click-counting detectors. We show that the probability of obtaining a given outcome is related to a new matrix function dubbed as the Kensingtonian.
  arXiv  Detail & Related papers  (2023-05-01T14:48:54Z)
• Experimental realization of deterministic and selective photon addition in a bosonic mode assisted by an ancillary qubit [50.591267188664666]
  Bosonic quantum error correcting codes are primarily designed to protect against single-photon loss. Error correction requires a recovery operation that maps the error states -- which have opposite parity -- back onto the code states. Here, we realize a collection of photon-number-selective, simultaneous photon addition operations on a bosonic mode.
  arXiv  Detail & Related papers  (2022-12-22T23:32:21Z)
• Importance sampling for stochastic quantum simulations [68.8204255655161]
  We introduce the qDrift protocol, which builds random product formulas by sampling from the Hamiltonian according to the coefficients. We show that the simulation cost can be reduced while achieving the same accuracy, by considering the individual simulation cost during the sampling stage. Results are confirmed by numerical simulations performed on a lattice nuclear effective field theory.
  arXiv  Detail & Related papers  (2022-12-12T15:06:32Z)
• Validation tests of GBS quantum computers give evidence for quantum advantage with a decoherent target [62.997667081978825]
  We use positive-P phase-space simulations of grouped count probabilities as a fingerprint for verifying multi-mode data. We show how one can disprove faked data, and apply this to a classical count algorithm.
  arXiv  Detail & Related papers  (2022-11-07T12:00:45Z)
• Threshold detection statistics of bosonic states [0.0]
  In quantum photonics, threshold detectors are routinely used to measure Fock and Gaussian states of light. Despite being the standard measurement scheme, there is no general closed form expression for measurement probabilities with threshold detectors. Here, we present new matrix functions to fill this gap.
  arXiv  Detail & Related papers  (2022-02-09T17:51:10Z)
• Realistic photon-number resolution in generalized Hong-Ou-Mandel experiment [0.0]
  We consider realistic photodetection in a generalization of the Hong-Ou-Mandel experiment to the multimode case. Peculiarities of photocounting probabilities in such an experiment witness important nonclassical properties of electromagnetic field related to indistinguishability of boson particles.
  arXiv  Detail & Related papers  (2021-12-13T21:31:45Z)
• The Complexity of Bipartite Gaussian Boson Sampling [0.0]
  We show that under the standard Anti-Concentration and Permanent-of-Gaussians conjectures, there is no efficient algorithm to sample from ideal GBS unless the hierarchy collapses. We also make progress towards the goal of proving hardness in the regime where there are fewer than quadratically more modes than photons.
  arXiv  Detail & Related papers  (2021-10-13T18:08:37Z)
• Bosonic field digitization for quantum computers [62.997667081978825]
  We address the representation of lattice bosonic fields in a discretized field amplitude basis. We develop methods to predict error scaling and present efficient qubit implementation strategies.
  arXiv  Detail & Related papers  (2021-08-24T15:30:04Z)
• Gaussian boson sampling with partial distinguishability [0.0]
  We investigate GBS with partial distinguishability using an approach based on virtual modes and indistinguishability efficiency. We show how the boundary of quantum supremacy in GBS can be pushed further by partial distinguishability.
  arXiv  Detail & Related papers  (2021-05-20T08:17:51Z)
• Conditional preparation of non-Gaussian quantum optical states by mesoscopic measurement [62.997667081978825]
  Non-Gaussian states of an optical field are important as a proposed resource in quantum information applications. We propose a novel approach involving displacement of the ancilla field into the regime where mesoscopic detectors can be used. We conclude that states with strong Wigner negativity can be prepared at high rates by this technique under experimentally attainable conditions.
  arXiv  Detail & Related papers  (2021-03-29T16:59:18Z)
• Quantum Random Number Generation using a Solid-State Single-Photon Source [89.24951036534168]
  Quantum random number generation (QRNG) harnesses the intrinsic randomness of quantum mechanical phenomena. We demonstrate QRNG with a quantum emitter in hexagonal boron nitride. Our results open a new avenue to the fabrication of on-chip deterministic random number generators.
  arXiv  Detail & Related papers  (2020-01-28T22:47:43Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.