Separability of Very Noisy Mixed States and Implications for NMR Quantum Computing

Braunstein, Samuel L.; Caves, Carlton M.; Jozsa, Richard; Linden, Noah; Popescu, Sandu; Schack, Rüdiger

doi:10.1103/physrevlett.83.1054

Cited by 548 publications

(570 citation statements)

References 23 publications

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“…This indicates that some states in that Hilbert subspace are separable. Braunstein et al [17] analyzed the separability of N -qubit states near the maximally mixed state. Vidal and Tarrach [18] give a separability boundary for the mixture of the maximally mixed state with a pure state.…”

Section: Concurrence Surface and Entanglement Edgementioning

confidence: 99%

Concurrence vectors for entanglement of high-dimensional systems

Zhu

2008

Front. Phys. China

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The concurrence vectors are proposed by employing the fundamental representation of An Lie algebra, which provides a clear criterion to evaluate the entanglement of bipartite system of arbitrary dimension for both pure and mixed states. Accordingly, a state is separable if the norm of its concurrence vector vanishes. The state vectors related to SU(3) states and SO(3) states are discussed in detail. The sign situation of nonzero components of concurrence vectors of entangled bases presents a simple criterion to judge whether the whole Hilbert subspace spanned by those bases is entangled, or there exists entanglement edge. This is illustrated in terms of the concurrence surfaces of several concrete examples.

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Section: Concurrence Surface and Entanglement Edgementioning

confidence: 99%

Concurrence vectors for entanglement of high-dimensional systems

Zhu

2008

Front. Phys. China

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“…First, an effective-pure GHZ state was prepared [82], and later a similar experiment was done with seven spins [39]. The claim of having created entangled states was later refuted based on the fact that spins at room temperature are too mixed to be entangled [83]. GHZ correlations have since been further studied on mixed states [84].…”

Section: Other Quantum Protocolsmentioning

confidence: 99%

NMR Quantum Information Processing

et al. 2004

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Nuclear Magnetic Resonance (NMR) has provided a valuable experimental testbed for quantum information processing (QIP). Here, we briefly review the use of nuclear spins as qubits, and discuss the current status of NMR-QIP. Advances in the techniques available for control are described along with the various implementations of quantum algorithms and quantum simulations that have been performed using NMR. The recent application of NMR control techniques to other quantum computing systems are reviewed before concluding with a description of the efforts currently underway to transition to solid state NMR systems that hold promise for scalable architectures.

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“…One objection [72] was that liquid state NMR systems at room temperature could not produce entanglement -Schrodinger's "characteristic trait of quantum mechanics" [73] -and are therefore not quantum in the real sense of the word. To challenge that idea, Knill and Laflamme [74,75] came up with an algorithm which is specifically tailored to NMR systems.…”

Section: Dqc1mentioning

confidence: 99%