Polynomial approximation of non-Gaussian unitaries by counting one photon at a time
arXiv:1703.06693 · doi:10.1103/PhysRevA.95.052352
Abstract
In quantum computation with continous-variable systems, quantum advantage can only be achieved if some non-Gaussian resource is available. Yet, non-Gaussian unitary evolutions and measurements suited for computation are challenging to realize in the lab. We propose and analyze two methods to apply a polynomial approximation of any unitary operator diagonal in the amplitude quadrature representation, including non-Gaussian operators, to an unknown input state. Our protocols use as a primary non-Gaussian resource a single-photon counter. We use the fidelity of the transformation with the target one on Fock and coherent states to assess the quality of the approximate gate.
11 pages, 7 figures
References in corpus (10)
- Universal Quantum Computation with Continuous-Variable Cluster States
- Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
- Building Gaussian Cluster States by Linear Optics
- Non-Gaussian states for continuous variable quantum computation via Gaussian maps
- Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
- Continuous-Variable Instantaneous Quantum Computing is hard to sample
- Non-linear photon subtraction from a multimode quantum field
- Nonlinear potential of quantum oscillator induced by single photons
- Iterative tailoring of optical quantum states with homodyne measurements
- Photon subtraction from traveling fields - recent experimental demonstrations
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