Finite stellar rank creates a trade-off between state-preparation cost and QEC performance for bosonic codes, with rank k=2 optimized encodings surpassing break-even under dephasing.
Available: https://arxiv.org/abs/2102.05748
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abstract
Gaussian quantum states of bosonic systems are an important class of states. In particular, they play a key role in quantum optics as all processes generated by Hamiltonians up to second order in the field operators (i.e. linear optics and quadrature squeezing) preserve Gaussianity. A powerful approach to calculations and analysis of Gaussian states is using phase-space variables and symplectic transformations. The purpose of this note is to serve as a concise reference for performing phase-space calculations on Gaussian states. In particular, we list symplectic transformations for commonly used optical operations (displacements, beam splitters, squeezing), and formulae for tracing out modes, treating homodyne measurements, and computing fidelities.
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A reverse third-quantization mapping sends Fermi-Hubbard ground states to dissipative Majorana steady states where individual Gaussian trajectories are polynomial but the non-Markovian sign problem restores exponential total cost.
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FPGA feedforward system with high-efficiency homodyne detector achieves 196 ns total latency and >95% quantum efficiency for real-time CV MB-QIP.
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Kochen-Specker contextuality generalizes nonclassicality while Spekkens' noncontextuality generalizes classicality, reconciling the two as successive stages in a hierarchy of classicality.
citing papers explorer
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Bosonic quantum error-correcting codes with finite stellar rank
Finite stellar rank creates a trade-off between state-preparation cost and QEC performance for bosonic codes, with rank k=2 optimized encodings surpassing break-even under dephasing.
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Calculating strongly correlated ground states from the non-Markovian dissipative dynamics of Gaussian fermions
A reverse third-quantization mapping sends Fermi-Hubbard ground states to dissipative Majorana steady states where individual Gaussian trajectories are polynomial but the non-Markovian sign problem restores exponential total cost.
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Entanglement Enabled Data Transmission over an Arbitrarily Varying Channel
Entangled two-mode squeezed states enable countering energy-limited jamming attacks during shared randomness distribution for arbitrarily varying channels.
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Charge-Preserving Operations in Quantum Batteries
Defines isoergotropic states and ergotropy-preserving operations that redistribute coherent-incoherent or displacement-squeezing components in quantum batteries without changing total ergotropy.
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FPGA Based Feedforward System for Photonic Quantum Computing Applications
FPGA feedforward system with high-efficiency homodyne detector achieves 196 ns total latency and >95% quantum efficiency for real-time CV MB-QIP.
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On the entanglement induced by the deformation of phase-space
Noncommutative deformations (θ, η) of phase space induce entanglement in bipartite Gaussian states of a 2D harmonic oscillator, with a gedankenexperiment outlined to detect this via photocurrent measurements as a quantum gravity signature.
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Warring Contextualities -- Provably Classical vs Provably Nonclassical
Kochen-Specker contextuality generalizes nonclassicality while Spekkens' noncontextuality generalizes classicality, reconciling the two as successive stages in a hierarchy of classicality.