Optical Lattices as a Playground for Studying Multiparticle Entanglement

Briegel, Hans J.; Raussendorf, Robert; Schenzle, A.

doi:10.1007/978-3-662-04897-9_40

Cited by 5 publications

(8 citation statements)

References 28 publications

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“…As was experimentally demonstrated in Ref. 25 , this can be employed to generate, in few steps, a cluster state over the entire lattice (see also 24 ). If the problem of addressing single lattice sites could be solved (see discussion in the main text), this would open the way for a large-scale implementation of one-way quantum computation.…”

Section: Experimental Proposals and Achievementsmentioning

confidence: 95%

“…The potential minima create a lattice of sites in which individual atoms can be trapped, storing quantum information in their long-lived internal states (see Fig 3a). Tuning the polarization of the trapping lasers can induce entangling interactions 22,23 between neighboring atoms across the array and create a cluster state across the whole lattice 20,24,25 . In recent years there has been huge experimental progress in the trapping, cooling and manipulation of ultra-cold atomic gases in optical lattices in one, two and three dimensions.…”

Section: Experimental Proposals and Achievementsmentioning

confidence: 99%

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Measurement-based quantum computation

et al. 2009

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Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied quantum circuit model. Although these models have been shown to be formally equivalent, their underlying elementary concepts and the requirements for their practical realization can differ significantly. The new paradigm of measurement-based quantum computation, where the processing of quantum information takes place by rounds of simple measurements on qubits prepared in a highly entangled state, is particularly exciting in this regard. In this article we discuss a number of recent developments in measurement-based quantum computation in both fundamental and practical issues, in particular regarding the power of quantum computation, the protection against noise (fault tolerance) and steps toward experimental realization. Moreover, we highlight a number of surprising connections between this field and other branches of physics and mathematics.

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Section: Experimental Proposals and Achievementsmentioning

confidence: 95%

Section: Experimental Proposals and Achievementsmentioning

confidence: 99%

Measurement-based quantum computation

et al. 2009

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“…The one-way quantum computation model (1WQC) [1][2][3] can be summarized as follows. We start with a set of auxiliary qubits initialized in state |+ ≡ 1 √ 2 (|0 + |1 ) and a set of input qubits.…”

Section: Wqc Reviewmentioning

confidence: 99%

“…Despite the conceptual differences, the two models were shown to be equivalent [2]. In this paper we approach the problem of translating 1WQC efficiently into quantum circuits.…”

Section: Introductionmentioning

confidence: 99%

“…In the one-way model of quantum computation (1WQC) [1][2][3][4], the computation is driven by one-qubit measurements on a highly entangled state, as opposed to the well-known circuit model where the information processing is driven by unitary evolution. Despite the conceptual differences, the two models were shown to be equivalent [2]. In this paper we approach the problem of translating 1WQC efficiently into quantum circuits.…”

Section: Introductionmentioning

confidence: 99%

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Compact quantum circuits from one-way quantum computation

Silva

Galvão

2013

Phys. Rev. A

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In this paper we address the problem of translating one-way quantum computation (1WQC) into the circuit model. We start by giving a straightforward circuit representation of any 1WQC, at the cost of introducing many ancilla wires. We then propose a set of four simple circuit identities that explore the relationship between the entanglement resource and correction structure of a 1WQC, allowing one to obtain equivalent circuits acting on fewer qubits. We conclude with some examples and a discussion of open problems.

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Error syndrome calculation for graph codes on a one-way quantum computer: Towards a quantum memory

Schlingemann

2004

Journal of Mathematical Physics

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For realizing a quantum memory we suggest to first encode quantum information via a quantum error correcting code and then concatenate combined decoding and re-encoding operations. This requires that the encoding and the decoding operation can be performed faster than the typical decoherence time of the underlying system. The computational model underlying the one-way quantum computer, which has been introduced by Hans Briegel and Robert Raussendorf, provides a suitable concept for a fast implementation of quantum error correcting codes. It is shown explicitly in this article is how encoding and decoding operations for stabilizer codes can be realized on a oneway quantum computer. This is based on the graph code representation for stabilizer codes, on the one hand, and the relation between cluster states and graph codes, on the other hand.

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Optical Lattices as a Playground for Studying Multiparticle Entanglement

Cited by 5 publications

References 28 publications

Measurement-based quantum computation

Measurement-based quantum computation

Compact quantum circuits from one-way quantum computation

Error syndrome calculation for graph codes on a one-way quantum computer: Towards a quantum memory

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