Optical spin-1 chain and its use as a quantum computational wire

Abstract

Measurement-based quantum computing, a powerful alternative to the standard circuit model, proceeds using only local adaptive measurements on a highly-entangled resource state of many spins on a graph or lattice. Along with the canonical cluster state, the valence-bond solid ground state on a chain of spin-1 particles, studied by Affleck, Kennedy, Lieb, and Tasaki (AKLT), is such a resource state. We propose a simulation of this AKLT state using linear optics, wherein we can make use of the high-fidelity projective measurements that are commonplace in quantum optical experiments, and describe how quantum logic gates can be performed on this chain. In our proposed implementation, the spin-1 particles comprizing the AKLT state are encoded on polarization biphotons: three level systems consisting of pairs of polarized photons in the same spatio-temporal mode. A logical qubit encoded on the photonic AKLT state can be initialized, read out and have an arbitrary single qubit unitary applied to it by performing projective measurements on the constituent biphotons. For MBQC, biphoton measurements are required which cannot be deterministically performed using only linear optics and photodetection.

9 pages, 4 figures, published version

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Cited by in corpus (10)

• Experimental Realization of a Quantum Integer-Spin Chain with Controllable Interactions
• Optical one-way quantum computing with a simulated valence-bond solid
• Dynamical topological quantum phase transitions in nonintegrable models
• Universal measurement-based quantum computation with spin-2 Affleck-Kennedy-Lieb-Tasaki states
• Phase Diagrams, Distinct Conformal Anomalies and Thermodynamics of Spin-1 Bond-Alternating Heisenberg Antiferromagnetic Chain in Magnetic Fields
• Projection of two biphoton qutrits onto a maximally entangled state
• Randomized benchmarking in measurement-based quantum computing
• Extremal Black Holes as Qudits
• Generating coherent state of entangled spins
• Quantum computational tensor network on string-net condensate