Detalles del recurso


We prove that universal quantum computation can be realized—using only linear optics and χ[superscript (2)] (three-wave mixing) interactions—in any (n+1)-dimensional qudit basis of the n-pump-photon subspace. First, we exhibit a strictly universal gate set for the qubit basis in the one-pump-photon subspace. Next, we demonstrate qutrit-basis universality by proving that χ[superscript (2)] Hamiltonians and photon-number operators generate the full u(3) Lie algebra in the two-pump-photon subspace, and showing how the qutrit controlled-Z gate can be implemented with only linear optics and χ[superscript (2)] interactions. We then use proof by induction to obtain our general qudit result. Our induction proof relies on coherent photon injection or subtraction, a technique enabled by χ[superscript (2)] interaction between the encoding modes and ancillary modes. Finally, we show that coherent photon injection is more than a conceptual tool, in that it offers a route to preparing high-photon-number Fock states from single-photon Fock states.

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Niu, Yuezhen -  Chuang, Isaac -  Shapiro, Jeffrey H - 

Id.: 71229258

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo de recurso: Article  -  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

Requerimientos técnicos:  Browser: Any - 

Relación: [IsBasedOn] American Physical Society
[References] Physical Review Letters

Fecha de contribución: 21-abr-2018


* 0031-9007
* 1079-7114
* Niu, Murphy Yuezhen et al. "Qudit-Basis Universal Quantum Computation Using X[superscript (2)]." Physical Review Letters 120, 16 (April 2018): 160502 © 2018 American Physical Society

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