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Adaptive phase measurements in linear optical quantum computation

T C Ralph1, A P Lund1 and H M Wiseman2

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Photon counting induces an effective non-linear optical phase shift in certain states derived by linear optics from single photons. Although this non-linearity is non-deterministic, it is sufficient in principle to allow scalable linear optics quantum computation (LOQC). The most obvious way to encode a qubit optically is as a superposition of the vacuum and a single photon in one mode—so-called 'single-rail' logic. Until now this approach was thought to be prohibitively expensive (in resources) compared to 'dual-rail' logic where a qubit is stored by a photon across two modes. Here we attack this problem with real-time feedback control, which can realize a quantum-limited phase measurement on a single mode, as has been recently demonstrated experimentally. We show that with this added measurement resource, the resource requirements for single-rail LOQC are not substantially different from those of dual-rail LOQC. In particular, with adaptive phase measurements an arbitrary qubit state \alpha \vert 0\rangle+\beta \vert 1\rangle
can be prepared deterministically.


PACS

42.50.Ar Photon statistics and coherence theory

03.65.Ta Foundations of quantum mechanics; measurement theory

03.67.Lx Quantum computation architectures and implementations

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

Subjects

Computational physics

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 10 (October 2005)

Received 21 March 2005, accepted for publication 19 April 2005

Published 14 September 2005



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