Distributed quantum computation over noisy channels

Cirac, J. I.; Ekert, Artur; Huelga, Susana F.; Macchiavello, Chiara

doi:10.1103/physreva.59.4249

Cited by 569 publications

(481 citation statements)

References 10 publications

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“…Such fidelity measures [40] are useful in evaluating the accuracy of information storage in a quantum network [41], quantum computer [42], or quantum memory [43].…”

Section: A Quantum Entropymentioning

confidence: 99%

Linear entropy in quantum phase space

Rosales-Zárate

Drummond

2011

Phys. Rev. A

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We calculate the quantum Renyi entropy in a phase space representation for either fermions or bosons. This can also be used to calculate purity and fidelity, or the entanglement between two systems. We show that it is possible to calculate the entropy from sampled phase space distributions in normally ordered representations, although this is not possible for all quantum states. We give an example of the use of this method in an exactly soluble thermal case. The quantum entropy cannot be calculated at all using sampling methods in classical symmetric (Wigner) or antinormally ordered (Husimi) phase spaces, due to inner product divergences. The preferred method is to use generalized Gaussian phase space methods, which utilize a distribution over stochastic Green's functions. We illustrate this approach by calculating the reduced entropy and entanglement of bosonic or fermionic modes coupled to a time-evolving, non-Markovian reservoir.

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“…Such fidelity measures [40] are useful in evaluating the accuracy of information storage in a quantum network [41], quantum computer [42], or quantum memory [43].…”

Section: A Quantum Entropymentioning

confidence: 99%

Linear entropy in quantum phase space

Rosales-Zárate

Drummond

2011

Phys. Rev. A

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“…By using local operations and classical communication (LOCC) an entangled state is generated between distant nodes, with the required number of initial entangled states between each node scaling logarithmically with the states separation distance [6]. Once created the entangled state can be used for a range of tasks including quantum cryptography [7,8], distributed quantum computing [9] and quantum teleportation [10]. The goal of these protocols is to generate a highly entangled state between two distant nodes and typically one uses the states fidelity, i.e.…”

Section: Introductionmentioning

confidence: 99%

Long-distance entanglement generation in two-dimensional networks

Dorner

Jaksch

2010

Phys. Rev. A

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We consider 2D networks composed of nodes initially linked by two-qubit mixed states. In these networks we develop a global error correction scheme that can generate distance-independent entanglement from arbitrary network geometries using rank two states. By using this method and combining it with the concept of percolation we also show that the generation of long distance entanglement is possible with rank three states. Entanglement percolation and global error correction have different advantages depending on the given situation. To reveal the trade-off between them we consider their application on networks containing pure states. In doing so we find a range of pure-state schemes, each of which has applications in particular circumstances: For instance, we can identify a protocol for creating perfect entanglement between two distant nodes. However, this protocol can not generate a singlet between any two nodes. On the other hand, we can also construct schemes for creating entanglement between any nodes, but the corresponding entanglement fidelity is lower.

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“…A n optical network of remote quantum computers offers the potential for distributed quantum computing 1 , with individual nodes based on a range of quantum computer architectures such as linear optics 2 , ions 3,4 or electron spins 5 . However, successful distribution of photonic qubits depends on availability of suitable high-fidelity sources for links.…”

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confidence: 99%

Coherent dynamics of a telecom-wavelength entangled photon source

et al. 2014

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Quantum networks can interconnect remote quantum information processors, allowing interaction between different architectures and increasing net computational power. Fibreoptic telecommunications technology offers a practical platform for routing weakly interacting photonic qubits, allowing quantum correlations and entanglement to be established between distant nodes. Although entangled photons have been produced at telecommunications wavelengths using spontaneous parametric downconversion in nonlinear media, as system complexity increases their inherent excess photon generation will become limiting. Here we demonstrate entangled photon pair generation from a semiconductor quantum dot at a telecommunications wavelength. Emitted photons are intrinsically antibunched and violate Bell's inequality by 17 standard deviations High-visibility oscillations of the biphoton polarization reveal the time evolution of the emitted state with exceptional clarity, exposing long coherence times. Furthermore, we introduce a method to evaluate the fidelity to a time-evolving Bell state, revealing entanglement between photons emitted up to 5 ns apart, exceeding the exciton lifetime.

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Distributed quantum computation over noisy channels

Cited by 569 publications

References 10 publications

Linear entropy in quantum phase space

Linear entropy in quantum phase space

Long-distance entanglement generation in two-dimensional networks

Coherent dynamics of a telecom-wavelength entangled photon source

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