Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
| Autor: | Daiqin Su, Casey R. Myers, Krishna Kumar Sabapathy |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Quantum Physics Photon Covariance matrix Gaussian FOS: Physical sciences State (functional analysis) 01 natural sciences 010305 fluids & plasmas symbols.namesake Superposition principle 0103 physical sciences symbols Wigner distribution function Statistical physics Quantum information Quantum Physics (quant-ph) 010306 general physics Quantum computer |
| Zdroj: | Physical Review A. 100 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.100.052301 |
| Popis: | Generation of high fidelity photonic non-Gaussian states is a crucial ingredient for universal quantum computation using continous-variable platforms, yet it remains a challenge to do so efficiently. We present a general framework for a probabilistic production of multimode non-Gaussian states by measuring few modes of multimode Gaussian states via photon-number-resolving detectors. We use Gaussian elements consisting of squeezed displaced vacuum states and interferometers, the only non-Gaussian elements consisting of photon-number-resolving detectors. We derive analytic expressions for the output Wigner function, and the probability of generating the states in terms of the mean and the covariance matrix of the Gaussian state and the photon detection pattern. We find that the output states can be written as a Fock basis superposition state followed by a Gaussian gate, and we derive explicit expressions for these parameters. These analytic expressions show exactly what non-Gaussian states can be generated by this probabilistic scheme. Further, it provides a method to search for the Gaussian circuit and measurement pattern that produces a target non-Gaussian state with optimal fidelity and success probability. We present specific examples such as the generation of cat states, ON states, Gottesman-Kitaev-Preskill states, NOON states and bosonic code states. The proposed framework has potential far-reaching implications for the generation of bosonic error-correction codes that require non-Gaussian states, resource states for the implementation of non-Gaussian gates needed for universal quantum computation, among other applications requiring non-Gaussianity. The tools developed here could also prove useful for the quantum resource theory of non-Gaussianity. 37 pages, 15 figures. See also related short paper arXiv:1902.02331 uploaded concurrently. Added references and corrected typos |
| Databáze: | OpenAIRE |
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