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arXiv:0804.1451 · AIP conference proceedings

Optical CNOT gates with Quantum Interrogation

Juan Carlos García-Escartín, Pedro Chamorro‐Posada, Alexander Lvovsky

Published Jan 1, 2009• 1 citation
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Abstract

We present three families of optical CNOT gates where the photon interaction is mediated by ancillary particle qubits. The gates are based on a matter to light CZ gate, in which the possibility of a particle absorbing a photon is enough for the coupling. The employed quantum interrogation scheme allows to have a negligible probability of an actual absorption taking place.

DOI
10.1063/1.3131358

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Journal of the Optical Society of America B•Nov 12, 2008•4 citations
We present three families of optical CNOT gates where the photon interaction is mediated by ancillary particle qubits. The gates are based on a matter to light CZ gate, in which the possibility of a particle absorbing a photon is enough for the coupling. The employed quantum interrogation scheme allows to have a negligible probability of an actual absorption taking place.
We describe an optical implementation of a CNOT gate in which the control qubit is the polarization of a single photon and the target qubit is the spatial parity of the same photon. The gate is implemented with a polarization- sensitive spatial light modulator. We characterize the operation of the gate using quantum process tomography and the spatial parity is analyzed with a modified Mach-Zehnder interferometer. We also demonstrate the CNOT-gate operation with arbitrary rotation of the target qubit and discuss the possibility of implementing multi-qubit CNOT gates using the same approach.
A new method based on quantum encoders is developed for implementing quantum computational gates, especially the CNOT gate. Photonic qubits are used where ∣0> and ∣1> represent horizontal ∣H> and vertical ∣V> polarized photons, respectively. By the use of polarizing beam splitters (PBSs) and entangled two-photon states in a certain experimental scheme, each input qubit state is copied, with a certain probability of success, into four equivalent input qubit states. The present method concentrates on the special case where the initial two-qubit state is separable. The CNOT gate (multiplied by 2) is decomposed into a summation of four unitary matrices each of dimension 4×4 and where each of these unitary matrices operates on a corresponding copy of the input two-qubit state. By adding the amplitudes of the four two-qubit states, which is obtained in a decoding interference experiment, the CNOT gate is implemented.