Sub-shot-noise sensitivity via superpositions of two deformed kitten states
arXiv:2409.09840 · doi:10.1103/PhysRevA.111.032407
Abstract
In the present work we explore nonclassical effects in the phase space of two superposed kitten states induced by photon addition and subtraction operations applied in different sequences. We investigate two scenarios: In the first, photon addition is applied to the state, followed by photon subtraction, while in the second, the order of operations is reversed. We demonstrate that applying multiphoton operations to the state results in notable nearly isotropic sub-Planck structures, with the characteristics of these structures being influenced by the photon addition and subtraction. Increasing the number of added photons compresses the sub-Planck structures in both cases. Photon subtraction, however, has the opposite effect on the sub-Planck structures in the first case and no effect in the second. Furthermore, we observe that the optimal choices of multiphoton operations lead to improved isotropy of sub-Planck structures in our cases. The presence of the sub-Planck structures in our states leads to improved sensitivity to displacements, exceeding the standard quantum limit, as verified across all the depicted scenarios.
arXiv comment18 Pages and 12 Figures
References in corpus (63)
- Quantum information with continuous variables
- Quantum-enhanced measurements: beating the standard quantum limit
- Trapped-Ion Quantum Computing: Progress and Challenges
- Super-resolving phase measurements with a multi-photon entangled state
- Generation of a superposition of odd photon number states for quantum information networks
- De Broglie Wavelength of a Nonlocal Four-Photon
- Quantum metrology with entangled coherent states
- Entanglement-based single-shot detection of a single magnon with a superconducting qubit
- Schroedinger cat-like states by conditional measurements on a beam-splitter
- Quantum enhanced measurements without entanglement
- Non-gaussian statistics from individual pulses of squeezed light
- Sub-Planck spots of Schroedinger cats and quantum decoherence
- Operational Quantum Mechanics, Quantum Axiomatics and Quantum Structures
- Critical Quantum metrology with a finite-component quantum phase transition
- Schrodinger cats and their power for quantum information processing
- Weak force detection with superposed coherent states
- Enhancing quantum entanglement by photon addition and subtraction
- Dissipation-based Quantum Sensing of Magnons with a Superconducting Qubit
- Single-Mode Displacement Sensor
- Gated conditional displacement readout of superconducting qubits
- Sub-Planck phase-space structures and Heisenberg-limited measurements
- Generation of optical Schrödinger's cat states by generalized photon subtraction
- Observation of quantum interference between separated mechanical oscillator wavepackets
- Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
- Statistics of photon-subtracted and photon-added states
- Decay of the Loschmidt Echo for quantum states with sub-Planck scale structures
- Squeezed vacuum used to accelerate the search for a weak classical signal
- Wigner Function Evolution of Quantum States in Presence of Self-Kerr Interaction
- Representations of the Weyl group and Wigner functions for SU(3)
- Mesoscopic Superposition of States with Sub-Planck Structures in Phase Space
- Experimental Observation of Quantum Chaos in a Beam of Light
- Quantum metrology at the Heisenberg limit with ion traps
- Short time decay of the Loschmidt echo
- Engineering Schrödinger cat states with a photonic even-parity detector
- Generation of a superposition of multiple mesoscopic states of radiation in a resonant cavity
- Sub-Planck scale structures in the P{ö}schl-Teller potential and their sensitivity to perturbations
- Witnessing Wigner Negativity
- Time-frequency Domain Analogues of Phase Space Sub-Planck Structures
- Mesoscopic superposition and sub-Planck-scale structure in molecular wave packets
- Joint quantum estimation of loss and nonlinearity in driven-dissipative Kerr resonators
- Sub-Planck scale structures in a vibrating molecule in the presence of decoherence
- Quantum phase communication channels assisted by non-deterministic noiseless amplifiers
- Entanglement induced Sub-Planck structures
- Quantum Hypercube States
- Sub-Planck phase-space structure and sensitivity for SU(1,1) compass states
- Sub-Planck structures: Analogies between the Heisenberg-Weyl and SU(2) groups
- Sub-Planck structures and sensitivity of the superposed photon-added or photon-subtracted squeezed-vacuum states
- Teleportation fidelity as a probe of sub-Planck phase-space structure
- Relating the Entanglement and Optical Nonclassicality of Multimode States of a Bosonic Quantum Field
- Superposing compass states for asymptotic isotropic sub-Planck phase-space sensitivity
- Quantum tetrachotomous states: Superposition of four coherent states on a line in phase space
- Measurement of complete and continuous Wigner functions for discrete atomic systems
- Engineering single-phonon number states of a mechanical oscillator via photon subtraction
- Coherently displaced oscillator quantum states of a single trapped atom
- Subtraction and Addition of Propagating Photons by Two-Level Emitters
- Direct Measurement of Time-Frequency Analogues of Sub-Planck Structures
- Compasslike states in a thermal reservoir and fragility of their nonclassical features
- Propagation of partially coherent radiation using Wigner functions
- A proposal to generate entangled compass states with sub-Planck structure
- Non-Gaussian features from Excited Squeezed Vacuum State
- Blind spots between quantum states
- Correspondence rules for Wigner functions over SU(3)/U(2)
- Quantum Rabi interferometry of motion and radiation