Generalized squeezing as a witness
arXiv:2503.09210 · doi:10.1103/9cxn-t1vf
Abstract
Quantum systems can be prepared in an infinite continuum of states, but only some of them can be used as resources for quantum technologies. Discerning whether a specific quantum state falls into this class, is often a challenging task. We show that it can be performed by looking at the squeezing of the quantum states - a scenario in which the variance of some observable operator is suppressed below the threshold given by the non-useful states. We discuss the general concept first; then we illustrate the approach by evaluating cubic nonlinear squeezing in the system of collective atomic spins.
References in corpus (64)
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Inseparability criterion for continuous variable systems
- Quantum metrology with nonclassical states of atomic ensembles
- Encoding a qubit in an oscillator
- Quantum Resource Theories
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Quantum computation over continuous variables
- Quantum spin squeezing
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Implementation of Cavity Squeezing of a Collective Atomic Spin
- Squeezing as an irreducible resource
- Entanglement and Extreme Spin Squeezing
- Fisher Information and entanglement of non-Gaussian spin states
- New class of quantum error-correcting codes for a bosonic mode
- Quantum Metrology for Gravitational Wave Astronomy
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Non-Gaussian Quantum States and Where to Find Them
- Resource theory of quantum non-Gaussianity and Wigner negativity
- Optimal metrology with programmable quantum sensors
- All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
- Time-Reversal-Based Quantum Metrology with Many-Body Entangled States
- Quantum computing with rotation-symmetric bosonic codes
- Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator
- Non-linear optomechanical measurement of mechanical motion
- Towards Scalable Bosonic Quantum Error Correction
- Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
- Quantum-enhanced sensing of a mechanical oscillator
- Optical synthesis of large-amplitude squeezed coherent-state superpositions with minimal resources
- Quantum Metrology with Strongly Interacting Spin Systems
- Implementation of a quantum cubic gate by adaptive non-Gaussian measurement
- Motional Fock states for quantum-enhanced amplitude and phase measurements with trapped ions
- Stellar representation of non-Gaussian quantum states
- Multi-qubit gates and Schrödinger cat states in an optical clock
- Squeezing the quantum noise of a gravitational-wave detector below the standard quantum limit
- Deterministic implementation of weak quantum cubic nonlinearity
- Non-Gaussian states for continuous variable quantum computation via Gaussian maps
- Metrological Nonlinear Squeezing Parameter
- Operational resource theory of continuous-variable nonclassicality
- Exploring a new regime for processing optical qubits: squeezing and unsqueezing single photons
- Generation and characterization of resource state for nonlinear cubic phase gate
- Spin Squeezing by Rydberg Dressing in an Array of Atomic Ensembles
- Quantum-enhanced metrology with large Fock states
- Engineering a Kerr-based Deterministic Cubic Phase Gate via Gaussian Operations
- General implementation of arbitrary nonlinear quadrature phase gates
- Certification of non-Gaussian states with operational measurements
- Quantum metrology with imperfect measurements
- Enhanced magnetic sensitivity with non-gaussian quantum fluctuations
- Nonlinear feedforward enabling quantum computation
- Quantum non-Gaussianity of light and atoms
- Nonlinear squeezing for measurement-based non-Gaussian operations in time domain
- Schrödinger's cat in an optical sideband
- Deterministic nonlinear phase gates induced by a single qubit
- Cubic nonlinear squeezing and its decoherence
- Generation of quantum states with nonlinear squeezing by Kerr nonlinearity
- Counterdiabatic driving in spin squeezing and Dicke state preparation
- Optical estimation of unitary Gaussian processes without phase reference using Fock states
- NOON-state interference in the frequency domain
- Efficient construction of witnesses of stellar rank of nonclassical states of light
- Ground state nature and nonlinear squeezing of Gottesman-Kitaev-Preskill states
- Squeezing as a resource to counteract phase diffusion in optical phase estimation
- Estimation of squeezing in a nonlinear quadrature of a mechanical oscillator
- Heisenberg-Limited Spin-Mechanical Gravimetry
- Nonlinear squeezing generation via multimode PDC and single photon measurement