Cubic nonlinear squeezing and its decoherence
arXiv:2107.06036 · doi:10.1364/OE.464759
Abstract
Squeezed states of the harmonic oscillator are a common resource in applications of quantum technology. If the noise is suppressed in a nonlinear combination of quadrature operators below threshold for all possible up-to-quadratic Hamiltonians, the quantum states are non-Gaussian and we refer to the noise reduction as nonlinear squeezing. Non-Gaussian aspects of quantum states are often more vulnerable to decoherence due to imperfections appearing in realistic experimental implementations. Therefore, a stability of nonlinear squeezing is essential. We analyze the behavior of quantum states with cubic nonlinear squeezing under loss and dephasing. The properties of nonlinear squeezed states depend on their initial parameters which can be optimized and adjusted to achieve the maximal robustness for the potential applications.
17 pages, 10 figures
References in corpus (18)
- Quantum computational advantage using photons
- Secure Quantum Key Distribution
- Optical Quantum Computing
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Strong relative intensity squeezing by 4-wave mixing in Rb vapor
- Experimental generation of multiple quantum correlated beams from hot rubidium vapor
- Generating superposition of up-to three photons for continuous variable quantum information processing
- Non-Gaussian states for continuous variable quantum computation via Gaussian maps
- Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
- Optical interferometry in the presence of large phase diffusion
- Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
- Towards satellite-based quantum-secure time transfer
- Experimental demonstration of remotely creating Wigner negativity via quantum steering
- Experimental realization of a dynamic squeezing gate
- Nonlinear squeezing for measurement-based non-Gaussian operations in time domain
- Nonlinear potential of quantum oscillator induced by single photons
- Lower bounds for the fidelity of entangled state preparation
- Generation of quantum states with nonlinear squeezing by Kerr nonlinearity
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