Superposition of two-mode squeezed states for quantum information processing and quantum sensing

Abstract

We investigate superpositions of two-mode squeezed states (TMSSs), which have potential applications to quantum information processing and quantum sensing. Firstly we study some properties of these nonclassical states such as the statistics of each mode and the degree of entanglement between the two modes, which can be higher than that of a TMSS with the same degree of squeezing. The states we consider can be prepared by inducing two-mode Jaynes-Cummings and anti-Jaynes-Cummings interactions in a system of two modes and a spin-$\frac{1}{2}$ particle, for instance in the trapped ion domain, as described here. We show that when two harmonic oscillators are prepared in a superposition of two TMSSs, each reduced single-mode state can be advantageously employed to sense arbitrary displacements of the mode in phase space. The Wigner function of this reduced state exhibits a symmetrical peak centered at the phase-space origin, which has the convenient peculiarity of getting narrower in both quadratures simultaneously as the average photon number increases. This narrow peakcan be used as the pointer of our quantum sensor, with its position in phase space indicating the displacement undergone by the oscillator.

arXiv comment9 pages, 6 figures

References in corpus (54)

• Quantum entanglement
• The Quantum Internet
• Advances in Quantum Metrology
• The Security of Practical Quantum Key Distribution
• Quantum Computing
• Quantum-enhanced measurements: beating the standard quantum limit
• Bell nonlocality
• Quantum Communication
• Quantum Coherence as a Resource
• Quantum metrology with nonclassical states of atomic ensembles
• Quantum Error Correction for Quantum Memories
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• Advances in Quantum Teleportation
• Quantum metrology from a quantum information science perspective
• Quantum computation with optical coherent states
• The Einstein-Podolsky-Rosen paradox: from concepts to applications
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Entangled coherent states: teleportation and decoherence
• Squeezed states of light and their applications in laser interferometers
• Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• A Schrodinger Cat Living in Two Boxes
• Quantum information processing for a coherent superposition state via a mixed entangled coherent channel
• Performance and structure of single-mode bosonic codes
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Hardware-efficient autonomous quantum error correction
• General optimality of the Heisenberg limit for quantum metrology
• Continuous Force and Displacement Measurement Below the Standard Quantum Limit
• Deterministic creation of entangled atom-light Schrödinger-cat states
• Schrodinger cats and their power for quantum information processing
• Weak force detection with superposed coherent states
• Optically Measuring Force near the Standard Quantum Limit
• Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
• Maximal Violation of Bell Inequalities using Continuous Variables Measurements
• Quantum nonlocality test for continuous-variable states with dichotomic observables
• Single-Mode Displacement Sensor
• Nonlinear quantum metrology using coupled nanomechanical resonators
• Simultaneous tracking of spin angle and amplitude beyond classical limits
• $\pi$-Corrected Heisenberg Limit
• Heisenberg limited single-mode quantum metrology
• Violation of Bell's inequality using classical measurements and non-linear local operations
• Quantum correlations in optical metrology: Heisenberg-limited phase estimation without mode entanglement
• Superbunching and Nonclassicality as new Hallmarks of Superradiance
• Heisenberg-limited qubit readout with two-mode squeezed light
• Superbunching pseudothermal light
• Nonlinear metrology with a quantum interface
• Measurement of a microwave field amplitude beyond the standard quantum limit
• One-step generation of high-quality squeezed and EPR states in cavity QED
• Quantum behavior of a many photons cavity field revealed by quantum discord
• High visibility temporal ghost imaging with classical light
• Superthermal photon bunching in terms of simple probability distributions
• Two-photon superbunching of pseudothermal light in a Hanbury Brown-Twiss interferometer
• Two-Mode Squeezed States and Their Superposition in the Motion of Two Trapped Ions
• Quantum properties of the parametric amplifier with and without pumping field fluctuations

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