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Gaussian states in continuous variable quantum information
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These notes originated out of a set of lectures in Quantum Optics and Quantum Information given by one of us (MGAP) at the University of Napoli and the University of Milano. A quite broad set of issues are covered, ranging from elementary concepts to current research topics, and from fundamental concepts to applications. A special emphasis has been given to the phase space analysis of quantum dynamics and to the role of Gaussian states in continuous variable quantum information.
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Cited by 30 Pith papers
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Quantum state isomorphism problems for groups
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Modal structure, photon statistics, and bosonic/phase symmetries jointly determine the usable resources for photonic quantum information and metrology, with explicit gains and limits for time-frequency, HOM, and SSR settings.
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Non-equilibrium quantum thermometry with bosonic samples
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Closed-form Bayesian quantum estimation of Gaussian states
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Emergence of volume-law scaling for entanglement negativity from the Hawking radiation of analogue black holes
Hawking radiation in a 1+1D analogue black hole induces a UV-finite volume-law term in logarithmic negativity that encodes the density and locations of entangled pairs.
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Interplay of resources for universal continuous-variable quantum computing
The authors define symplectic coherence, show that circuits with little of it can be classically simulated, and map this resource to coherence in discrete-variable quantum computing via the GKP encoding.
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Simulating lossy and partially distinguishable quantum optical circuits: theory, algorithms and applications to experiment validation and state preparation
The authors introduce a blocked loop Hafnian and finite-difference sieve that compute coarse-grained photon-number distributions of Gaussian states in exponential, not combinatorial, time.
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Assessing non-Gaussian quantum state conversion with the stellar rank
The approximate stellar rank serves as an operational measure of non-Gaussianity that yields bounds and new no-go results for approximate and probabilistic Gaussian state conversion and distillation.
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Calculating strongly correlated ground states from the non-Markovian dissipative dynamics of Gaussian fermions
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Detection methods for optimal target reflectivity estimation with two-mode squeezed vacuum probes
Optimal TMSV reflectivity estimation switches from parametric-amplifier receivers to two-mode squeezing generators at η*=nr/(nr+1), while non-local Gaussian measurements approach the quantum Cramér-Rao bound in high noise.
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Continuous-variable ADAPT-VQE for bosonic lattice models
CV-ADAPT-VQE with tailored symmetry-preserving pools achieves significantly shallower circuits than Hamiltonian-based VQE for bosonic lattice models in GPU classical simulations.
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Chirality routing non-polaritonic vacuum correlations in Landau polaritons
In Landau polaritons an exact chiral charge routes dominant anomalous correlations, squeezing, and cavity-matter entanglement to the opposite polarization, producing Gaussian discord between cyclotron resonance and fi...
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DeepQuantum: A PyTorch-based Software Platform for Quantum Machine Learning and Photonic Quantum Computing
DeepQuantum is a PyTorch platform that unifies quantum circuits, photonic quantum circuits, and measurement-based quantum computing in one open-source framework for hybrid models and variational algorithms.
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Open harmonic chain without secular approximation
For a three-oscillator chain with thermal baths, the global (rotating-wave) master equation introduces non-divergence sink/source terms in the energy continuity equation, while exact and local dynamics preserve a dive...
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Simulating Vibrational Dynamics on Bosonic Quantum Devices
A digital simulation framework decomposes quartic vibrational Hamiltonians into Bogoliubov-diagonalizable fragments, enabling Trotterized dynamics and eigenenergies on bosonic quantum hardware, demonstrated on a doubl...
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Two-stage Quantum Estimation and the Asymptotics of Quantum-enhanced Transmittance Sensing
Relaxes conditions on two-stage quantum estimators to broaden usable classical post-processing while deriving asymptotics for quantum-enhanced transmittance sensing with nuisance parameters.
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Geometry on the manifold of Gaussian quantum channels
Analytical relative volumes of entanglement-breaking and incompatibility-breaking one-mode Gaussian channels are derived from a Hilbert-Schmidt geometry induced by the Choi-Jamiolkowski isomorphism.
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Squeezing as a catalyst for non-Gaussian advantage in characterization of nonlinear media
Photon addition and subtraction enhance QFI for nonlinear parameter estimation on squeezed vacuum states but not on coherent states, where the benefit reduces to extra energy, allowing comparable performance with lowe...
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Optics-microwave entanglement and state teleportation mediated by a cavity magnomechanical system
Steady-state optics-microwave entanglement is generated in a two-stage magnomechanical converter and used for teleportation with fidelity up to 0.75 in a proposed micrometer-scale YIG disk.
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Entanglement Dynamics of Separable Squeezed States in Finite Memory Structured Reservoir
Separable squeezed inputs in finite-memory structured reservoirs produce detuning-locked entanglement freezing, birth-death-revival cycles, and integer-locked beating oscillations that persist with small deviations at...
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An open harmonic chain: Exact vs global and local reduced dynamics
For a three-oscillator chain with two unequal-temperature baths, the local GKSL master equation is numerically closer to the exact dynamics for weak inter-oscillator coupling, while the global equation wins above a te...
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Probing the Quantum Nature of Gravity through Classical Diffusion
A classical local gravitational interaction necessarily causes momentum diffusion in quantum matter, and the required minimum diffusion could be detected by a millikelvin torsion pendulum.
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Heisenberg-scaling characterization of a two-channel optical network via two-port homodyne detection
Two-mode squeezed light with two-port balanced homodyne yields an analytical classical Fisher matrix that Heisenberg-scales all four U(2) network parameters and saturates multiparameter CRBs via MLE at modest sample size.
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Mechanisms and Opportunities for Tunable High-Purity Single Photon Emitters: A Review of Hybrid Perovskites and Prospects for Bright Squeezed Vacuum
Hybrid perovskite quantum dots offer tunable room-temperature single-photon emission that may overcome purity and scalability limits of existing sources, while bright squeezed vacuum provides a path to multiplexable h...
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From simulatability to universality of continuous-variable quantum computers
A compilation thesis showing that large classes of GKP-based continuous-variable circuits are classically simulatable, while certain resources, including vacuum, can promote them to universality.
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Information geometry of entangled states induced by noncommutative deformation of phase space
The paper claims the relative volume of entangled Gaussian states rises with noncommutativity in a toy model, but the volume measure hinges on an arbitrary regularization parameter.
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Enhanced quantum sensing with hybrid exceptional-diabolic singularities
The paper claims that at hybrid exceptional-diabolic points in a four-mode bosonic system, the quantum Fisher information diverges as theta^{-4}, giving a quadratic error scaling delta-theta proportional to theta^2 th...
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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 quan...
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A Survey on Continuous Variable Quantum Key Distribution for Secure Data Transmission: Toward the Future of Secured Quantum-Networks
A survey of CV-QKD theory, photonic integration, and machine learning advances, with no new results.
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Entanglement Certification $-$ From Theory to Experiment
Reviews paradigmatic entanglement quantifiers and state-of-the-art detection/certification methods, with emphasis on assumptions about states and measurements.
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