Decoherence-based exploration of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-dimensional one-way quantum computation: Information transfer and basic gates

Tame, Mark; Paternostro, Mauro; Hadley, Christopher; Bose, Sougato; Kim, Myungshik

doi:10.1103/physreva.74.042330

Cited by 7 publications

(2 citation statements)

References 33 publications

(40 reference statements)

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“…The fulfillment of the four criteria for building a quantum computer in the one-way model is somewhat fluid, in the sense that we can interpret certain aspects of the model as falling under different criteria. First, the quantum memory of a quantum computer based on the one-way model consists of qubits, although the model can also be defined on qudits [110,101] and qunats [73]. The qubits must be addressable to the extent that any single-qubit measurement in the equatorial plane of the Bloch sphere, as well as a computational basis measurement, can be reliably performed.…”

Section: Measurement-based Quantum Computingmentioning

confidence: 99%

What is a quantum computer, and how do we build one?

Perez-Delgado,

Kok

2009

Preprint

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The DiVincenzo criteria for implementing a quantum computer have been seminal in focussing both experimental and theoretical research in quantum information processing. These criteria were formulated specifically for the circuit model of quantum computing. However, several new models for quantum computing (paradigms) have been proposed that do not seem to fit the criteria well. The question is therefore what are the general criteria for implementing quantum computers. To this end, a formal operational definition of a quantum computer is introduced. It is then shown that according to this definition a device is a quantum computer if it obeys the following criteria: Any quantum computer must consist of a quantum memory, with additional structure that (1) facilitates a controlled quantum evolution of the quantum memory; (2) includes a method for information theoretic cooling of the memory; and (3) provides a readout mechanism for subsets of the quantum memory. The criteria are met when the device is scalable and operates fault-tolerantly. We discuss various existing quantum computing paradigms, and how they fit within this framework. Finally, we present a decision tree for selecting an avenue towards building a quantum computer. This is intended to help experimentalists determine the most natural paradigm given a particular physical implementation.

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Section: Measurement-based Quantum Computingmentioning

confidence: 99%

What is a quantum computer, and how do we build one?

Perez-Delgado,

Kok

2009

Preprint

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“…From the discussion in section 1, it is clear that the DFS encoding leaves the input state |in = cos θ|0 + e iφ cos θ|1 unaffected by the noise during the transfer across the chain. On the other hand, a detailed calculation [16] reveals that in the standard encoded case, the state of the logical output qubit residing on qubit 3 , i.e. after the performance of the protocol, in the presence of the phase damping environment characterized by the strength , is written as …”

Section: An Application: Information Transfer Through a Linear Clustementioning

confidence: 99%

One-way quantum computing in a decoherence-free subspace

Tame¹,

Paternostro²,

Kim³

2007

New J. Phys.

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Experimental characterization of universal one-way quantum computing B A Bell, M S Tame, A S Clark et al. Abstract. We introduce a novel scheme for one-way quantum computing (QC) based on the use of information encoded qubits in an effective cluster state resource. With the correct encoding structure, we show that it is possible to protect the entangled resource from phase damping decoherence, where the effective cluster state can be described as residing in a decoherence-free subspace (DFS) of its supporting quantum system. One-way QC then requires either single or twoqubit adaptive measurements. As an example where this proposal can be realized, we describe an optical lattice set-up where the scheme provides robust quantum information processing. We also outline how one can adapt the model to provide protection from other types of decoherence.

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Generic Construction of Kraus Operators: d‐level Systems in a Thermal Bosonic Bath

Biswas

Brumer

2012

Israel Journal of Chemistry

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The dynamical evolution of open systems can be conveniently expressed in the operator sum representation in terms of Kraus operators. Here we introduce an expression for the canonical Kraus representation in terms of the eigenstates |γ〉 and eigenvalues Eγ of the total Hamiltonian, thus making a stronger connection to the tools in chemistry. The method is exact, and hence valid for non‐Markovian evolution of the system to all orders of the coupling to the bath. Significantly, it provides a starting point for developing approximate Kraus operators based upon perturbative approximations to |γ〉 and Eγ. As an example, the explicit form of these operators is derived for a d‐level system interacting with a single‐mode thermal bath.

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Decoherence-based exploration ofd-dimensional one-way quantum computation: Information transfer and basic gates

Cited by 7 publications

References 33 publications

What is a quantum computer, and how do we build one?

What is a quantum computer, and how do we build one?

One-way quantum computing in a decoherence-free subspace

Generic Construction of Kraus Operators: d‐level Systems in a Thermal Bosonic Bath

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