Quantum key distribution via tripartite coherent states

Allati, A. El; Baz, M. El; Hassouni, Y.

doi:10.1007/s11128-010-0213-y

Cited by 52 publications

(25 citation statements)

References 39 publications

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“…While this is sufficient, it does not seem necessary to use Bell states. In fact in QKD and random number generation, as mentioned previously, other types of states can also be used [27,28,[47][48][49] and so it is interesting to examine if this is also the case for verification. Here, interestingly, we show that under reasonable assumptions about the verification protocol, the entangled states must be unitarily equivalent to Bell states.…”

Section: Verification From Partially Entangled Statesmentioning

confidence: 99%

Rigidity of quantum steering and one-sided device-independent verifiable quantum computation

2017

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The relationship between correlations and entanglement has played a major role in understanding quantum theory since the work of Einstein et al (1935 Phys. Rev. 47 777-80). Tsirelson proved that Bell states, shared among two parties, when measured suitably, achieve the maximum non-local correlations allowed by quantum mechanics (Cirel'son 1980 Lett. Math. Phys. 4 93-100). Conversely, Reichardt et al showed that observing the maximal correlation value over a sequence of repeated measurements, implies that the underlying quantum state is close to a tensor product of maximally entangled states and, moreover, that it is measured according to an ideal strategy (Reichardt et al 2013 Nature 496 456-60). However, this strong rigidity result comes at a high price, requiring a large number of entangled pairs to be tested. In this paper, we present a significant improvement in terms of the overhead by instead considering quantum steering where the device of the one side is trusted. We first demonstrate a robust one-sided device-independent version of self-testing, which characterises the shared state and measurement operators of two parties up to a certain bound. We show that this bound is optimal up to constant factors and we generalise the results for the most general attacks. This leads us to a rigidity theorem for maximal steering correlations. As a key application we give a onesided device-independent protocol for verifiable delegated quantum computation, and compare it to other existing protocols, to highlight the cost of trust assumptions. Finally, we show that under reasonable assumptions, the states shared in order to run a certain type of verification protocol must be unitarily equivalent to perfect Bell states.

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Section: Verification From Partially Entangled Statesmentioning

confidence: 99%

Rigidity of quantum steering and one-sided device-independent verifiable quantum computation

2017

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“…It is worth noting that, at q −→ 1, C q i(jk) −→ C i(jk) , where C q i(jk) represents the concurrence for the deformed tripartite state, and C i(jk) [24] is the concurrence for the usual (nondeformed) tripartite state.…”

Section: Deformed Bosonic Coherent State and Concurrencementioning

confidence: 99%

“…However, a while ago and in some cases it may even be possible to measure exactly this rate limit to define exactly this quantity due to the detector imperfection and the environment effect. Moreover, a recent quantum protocol is presented in [24], where a new scheme is proposed for sharing a quantum key based on tripartite coherent states.…”

Section: Introductionmentioning

confidence: 99%

“…In other words, we consider deformed tripartite states as a quantum transmission vector that can be optimized to improve the security transmission and the probability of success of measurements related mainly to the orthogonality and nondeformed state [24]. Following this scheme, we present a detailed analysis of the evolution of shared information between two correspondents, the quantum key rate, and the probability of success of measurement of the three-mode coherent-state superposition (CSS) in the case of normal and deformed particles.…”

Section: Introductionmentioning

confidence: 99%

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A Secure Quantum Communication via Deformed Tripartite Coherent States

et al. 2014

Self Cite

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We propose a secure quantum-network protocol using Greenberger-Horne-Zeilinger (GHZ) tripartite deformed states. Alice and Bob share a secure key by exchanging the entangled deformed states without basis reconciliation. We investigate a perfect transmission efficiency in a perfect quantum channel. The security of the protocol is ensured by the deformed and correlated tripartite states, which allows us to detect any eavesdropping easily.

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“…This advantage makes that quantum cryptography can be used to distribute secret key so that the key has the property of perfect secrecy. Now, although quantum cryptography is best known for its applications in key distribution protocols [6,7], quantum techniques can also assist in the achievement of quantum authentication protocols [8,9,[10][11][12]. In this paper, we mainly focus on the study of quantum authentication protocols.…”

Section: Introductionmentioning

confidence: 99%

Quantum Authentication Protocol for Classical Messages Based on Bell states and Hash Function

Xin¹,

Hua²,

Song³

et al. 2015

IJSIA

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its hash value h(m) into a sequence of Bell states. To authenticate the classical message, the message receiver extracts m and h(m) from the qubits owned by himself/herself, and verifies whether h(m) matches m. The adversary's disturbance to the quantum channel can be detected by checking whether h(m) matches m.The transmitted message has the properties of both secrecy and authentication. Our quantum authentication protocol is secure against message attack and no-message attack.

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Quantum key distribution via tripartite coherent states

Cited by 52 publications

References 39 publications

Rigidity of quantum steering and one-sided device-independent verifiable quantum computation

Rigidity of quantum steering and one-sided device-independent verifiable quantum computation

A Secure Quantum Communication via Deformed Tripartite Coherent States

Quantum Authentication Protocol for Classical Messages Based on Bell states and Hash Function

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