Highly entangled multi-qubit states with simple algebraic structure

Tapiador, Juan E.; Hernández-Castro, Julio; Clark, John A.; Stepney, Susan

doi:10.1088/1751-8113/42/41/415301

Cited by 13 publications

(13 citation statements)

References 15 publications

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“…Over the last decades, problems with a very similar structure have been approached by means of heuristic optimisation procedures, in some cases with remarkable results such as the ones presented in [17,18]. In our case, we used a variant of a simulated annealing algorithm [19], which can be viewed as a basic hill-climbing algorithm coupled with the probabilistic acceptance of non-improving solutions [20].…”

Section: Experimental Settingmentioning

confidence: 99%

Trustworthy placements: Improving quality and resilience in collaborative attack detection

et al. 2014

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In distributed and collaborative attack detection systems decisions are made on the basis of the events reported by many sensors, e.g., Intrusion Detection Systems placed across various network locations. In some cases such events originate at locations over which we have little control, for example because they belong to an organisation that shares information with us. Blindly accepting such reports as real encompasses several risks, as sensors might be dishonest, unreliable or simply compromised. In these situations trust plays an important role in deciding whether alerts should be believed or not. In this work we present an approach to maximise the quality of the information gathered in such systems and the resilience against dishonest behaviours. We introduce the notion of trust diversity amongst sensors and argue that detection configurations with such a property perform much better in many respects. Using reputation as a proxy for trust, we introduce an adaptive scheme to dynamically reconfigure the network of detection sensors. Experiments confirm an overall increase both in detection quality and resilience against compromise and misbehaviour.

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Section: Experimental Settingmentioning

confidence: 99%

Trustworthy placements: Improving quality and resilience in collaborative attack detection

et al. 2014

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“…She prepares a genuinely entangled six-qubit state with six qubits 1, 2, 3, 4, 5 and 6 [22]. We note that the state can also be given by The combined state of the nine qubits can be expressed as…”

Section: Teleportation Of An Arbitrary Three-qubit Statementioning

confidence: 99%

“…In the paper, we have devised two distinct protocols for QIS of an arbitrary two-qubit state using a genuinely entangled six-qubit state [22]. In the two protocols, the first protocol performs joint Bell-state measurement, whereas the second protocol makes a five-qubit vonNeumann measurement under 32 orthogonal basis.…”

Section: Comparisonmentioning

confidence: 99%

“…Choudhury et al [18] proved that the Borras et al's |ψ 6 state can be used for teleportation of an arbitrary threequbit state and QIS of an arbitrary two-qubit state deterministically. In the case of six qubits, a new state with an algebraic structure arguably simpler than Borras et al's |ψ 6 state [21] has been discovered in [22], this state exhibits genuine multipartite entanglement according to negative partial transpose measure, all the partial density matrices are completely mixed for this state, i.e. Tr(ρ 2 ) being 1/2, 1/4 and 1/8 for all the 1-quibit, 2-qubit and 3-qubit marginal density matrices, respectively.…”

Section: Introductionmentioning

confidence: 98%

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Quantum Teleportation and Quantum Information Splitting by Using a Genuinely Entangled Six-Qubit State

Liu

Nie

2010

Int J Theor Phys

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A new application of the genuinely entangled six-qubit state introduced recently by Tapiador et al. (J. Phys. A 42:415301, 2009) is investigated for the quantum teleportation of an arbitrary three-qubit state and for quantum information splitting (QIS) of an arbitrary two-qubit state. For QIS, we have shown that it can be completed perfectly with two distinct measurement methods. In our scheme, the joint Bell-state measurement and the joint multi-qubit measurement are needed. This quantum teleportation and QIS schemes are deterministic.

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“…This suggests searching for new quantum algorithms that would make use of maximally multipartite entangled states. However, searching for maximally entangled states itself is a known problem [10,11,19].…”

Section: Introductionmentioning

confidence: 99%

Generating Efficient Quantum Circuits for Preparing Maximally Multipartite Entangled States

Sadowski

2013

Int. J. Quantum Inform.

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In this work we provide a method for generating quantum circuits preparing maximally multipartite entangled states using genetic programming. The presented method is faster that known realisations thanks to the applied fitness function and several modifications to the genetic programming schema. Moreover, we enrich the described method by the unique possibility to define an arbitrary structure of a system. We use the developed method to find new quantum circuits, which are simpler from known results. We also analyse the efficiency of generating entanglement in the spin chain system and in the system of complete connections.

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Highly entangled multi-qubit states with simple algebraic structure

Cited by 13 publications

References 15 publications

Trustworthy placements: Improving quality and resilience in collaborative attack detection

Trustworthy placements: Improving quality and resilience in collaborative attack detection

Quantum Teleportation and Quantum Information Splitting by Using a Genuinely Entangled Six-Qubit State

Generating Efficient Quantum Circuits for Preparing Maximally Multipartite Entangled States

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