Gaussian Quantum Illumination via Monotone Metrics

• URL: http://arxiv.org/abs/2302.07498v1
• Date: Wed, 15 Feb 2023 07:13:04 GMT
• Title: Gaussian Quantum Illumination via Monotone Metrics
• Authors: Dong Hwan Kim, Yonggi Jo, Duk Y. Kim, Taek Jeong, Jihwan Kim, Nam Hun Park, Zaeill Kim, Su-Yong Lee
• Abstract summary: We show that two-mode squeezed vacuum (TMSV) states are the optimal probe among pure Gaussian states with fixed signal mean photon number. Third, we show that it is of utmost importance to prepare an efficient idler memory to beat coherent states and provide analytic bounds on the idler memory transmittivity in terms of signal power, background noise, and idler memory noise.
• Score: 6.626330159001871
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum illumination is to discern the presence or absence of a low reflectivity target, where the error probability decays exponentially in the number of copies used. When the target reflectivity is small so that it is hard to distinguish target presence or absence, the exponential decay constant falls into a class of objects called monotone metrics. We evaluate monotone metrics restricted to Gaussian states in terms of first-order moments and covariance matrix. Under the assumption of a low reflectivity target, we explicitly derive analytic formulae for decay constant of an arbitrary Gaussian input state. Especially, in the limit of large background noise and low reflectivity, there is no need of symplectic diagonalization which usually complicates the computation of decay constants. First, we show that two-mode squeezed vacuum (TMSV) states are the optimal probe among pure Gaussian states with fixed signal mean photon number. Second, as an alternative to preparing TMSV states with high mean photon number, we show that preparing a TMSV state with low mean photon number and displacing the signal mode is a more experimentally feasible setup without degrading the performance that much. Third, we show that it is of utmost importance to prepare an efficient idler memory to beat coherent states and provide analytic bounds on the idler memory transmittivity in terms of signal power, background noise, and idler memory noise. Finally, we identify the region of physically possible correlations between the signal and idler modes that can beat coherent states.

Related papers

• Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled Gradient Descent, Even with Overparameterization [48.65416821017865]
  This chapter introduces a new algorithmic approach, dubbed scaled gradient (ScaledGD) It converges linearly at a constant rate independent of the condition number of the low-rank object. It maintains the low periteration cost of gradient descent for a variety of tasks.
  arXiv  Detail & Related papers  (2023-10-09T21:16:57Z)
• Single-photon sub-Rayleigh precision measurements of a pair of incoherent sources of unequal intensity [0.0]
  We consider single-photon imaging of two point-like emitters of unequal intensity. We employ multi-plane light conversion technology to experimentally implement Hermite-Gaussian spatial-mode demultiplexing.
  arXiv  Detail & Related papers  (2023-09-05T14:58:34Z)
• 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)
• Bound for Gaussian-state Quantum illumination using direct photon measurement [4.881924950569192]
  We present analytic bounds for quantum illumination with Gaussian states when using an on-off detection or a photon number resolving (PNR) detection. For coincidence counting measurement, the best performance is given by the two-mode squeezed vacuum (TMSV) state. It is useful to take the PNR detection on the signal mode and the on-off detection on the idler mode, which reaches similar performance of using PNR detections on both modes.
  arXiv  Detail & Related papers  (2022-10-04T08:53:21Z)
• Wigner Function Tomography via Optical Parametric Amplification [3.9494540318680365]
  Wigner function tomography is indispensable for characterizing quantum states. It requires efficient detection, which is critical for measuring fragile non-Gaussian states, especially bright ones. Here we propose Wigner function tomography based on optical parametric amplification followed by direct detection.
  arXiv  Detail & Related papers  (2022-07-20T16:45:54Z)
• Regression of high dimensional angular momentum states of light [47.187609203210705]
  We present an approach to reconstruct input OAM states from measurements of the spatial intensity distributions they produce. We showcase our approach in a real photonic setup, generating up-to-four-dimensional OAM states through a quantum walk dynamics.
  arXiv  Detail & Related papers  (2022-06-20T16:16:48Z)
• Deterministic Gaussian conversion protocols for non-Gaussian single-mode resources [58.720142291102135]
  We show that cat and binomial states are approximately equivalent for finite energy, while this equivalence was previously known only in the infinite-energy limit. We also consider the generation of cat states from photon-added and photon-subtracted squeezed states, improving over known schemes by introducing additional squeezing operations.
  arXiv  Detail & Related papers  (2022-04-07T11:49:54Z)
• 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)
• Quantum illumination with non-Gaussian states: Bounds on the minimum error probability using quantum Fisher information [0.0]
  We derive an upper bound as well as a lower bound on the minimum error probability, as functions of the quantum Fisher information. We find that a coherent state outperforms the definite-photon-number entangled state with the same signal energy.
  arXiv  Detail & Related papers  (2021-10-13T17:23:20Z)
• 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)
• Bose-Einstein condensate soliton qubit states for metrological applications [58.720142291102135]
  We propose novel quantum metrology applications with two soliton qubit states. Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
  arXiv  Detail & Related papers  (2020-11-26T09:05:06Z)

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.