High-fidelity linear optical quantum computing with polarization encoding

Abstract

We show that the KLM scheme [Knill, Laflamme and Milburn, Nature {\bf 409}, 46] can be implemented using polarization encoding, thus reducing the number of path modes required by half. One of the main advantages of this new implementation is that it naturally incorporates a loss detection mechanism that makes the probability of a gate introducing a non-detected error, when non-ideal detectors are considered, dependent only on the detector dark-count rate and independent of its efficiency. Since very low dark-count rate detectors are currently available, a high-fidelity gate (probability of error of order $10^{-6}$ conditional on the gate being successful) can be implemented using polarization encoding. The detector efficiency determines the overall success probability of the gate but does not affect its fidelity. This can be applied to the efficient construction of optical cluster states with very high fidelity for quantum computing.

12 pages, 7 figures. Improved construction of high-fidelity entangled ancilla; references added

References in corpus (4)

• Experimental One-Way Quantum Computing
• Resource-efficient linear optical quantum computation
• Efficient high-fidelity quantum computation using matter qubits and linear optics
• Noise-free high-efficiency photon-number-resolving detectors

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• Adaptive quantum teleportation
• Optimal state in the Knill-Laflamme-Milburn scheme of linear optical teleportation
• Quantum information technology with Sagnac interferometer: Interaction-free measurement, quantum key distribution and quantum secret sharing
• Alternate Scheme for Optical Cluster-State Generation without Number-Resolving Photon Detectors
• Ultrastable, low-error dynamic polarization encoding of deterministically generated single photons