Translating Non-Trivial Algorithms from the Circuit Model to the Measurement

Journal Article · Thu Jan 01 00:00:00 EST 2015 · Journal of Modern Optics

OSTI ID:1185632

Smith, IV, Amos M ^[1]; Alsing, Paul ^[2]; Lott, Capt. Gordon ^[2]; Fanto, Michael ^[2]

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1. ORNL
2. Air Force Research Laboratory

We provide a set of prescriptions for implementing a circuit model algorithm as measurement based quantum computing via a large discrete cluster state constructed sequentially, from qubits implemented as single photons. We describe a large optical discrete graph state capable of searching logical 4 and 8 element lists as an example. To do so we have developed several prescriptions based on analytic evaluation of the evolution of discrete cluster states and graph state equations. We describe the cluster state as a sequence of repeated entanglement and measurement steps using a small number of single photons for each step. These prescriptions can be generalized to implement any logical circuit model operation with appropriate single photon measurements and feed forward error corrections. Such a cluster state is not guaranteed to be optimal (i.e. minimum number of photons, measurements, run time).

• Research Organization: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
• Sponsoring Organization: Work for Others (WFO)
• DOE Contract Number: DE-AC05-00OR22725
• OSTI ID: 1185632
• Journal Information: Journal of Modern Optics, Journal Name: Journal of Modern Optics
• Country of Publication: United States
• Language: English