Quantum-information splitting using multipartite cluster states

Muralidharan, Sreraman; Panigrahi, Prasanta K.

doi:10.1103/physreva.78.062333

Cited by 206 publications

(133 citation statements)

References 33 publications

(35 reference statements)

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“…Experimental schemes which used single photon sources to split |ψ 1 have been demonstrated [23]. Recently, attention has turned towards the usage of genuine multipartite entangled channels which can be realized experimentally [24,25]. Further, it was proved that one can devise (N − 2n) protocols for the QIS of an arbitrary n qubit state using a genuinely entangled N qubit state as an entangled channel among two parties, in the case where the two parties need not meet [26].…”

Section: Quantum Information Splitting Of An Entangled Statementioning

confidence: 99%

Multipartite entangled magnon states as quantum communication channels

Prasath

Muralidharan

Mitra

et al. 2011

Quantum Inf Process

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We explicate conditions under which, the two magnon state becomes highly entangled and is useful for several quantum communication protocols. This state, which is experimentally realizable in quantum dots using Heisenberg exchange interaction, is found to be suitable for carrying out deterministic teleportation of an arbitrary two qubit composite system. Further, conditions for which the channel capacity reaches "Holevo bound", allowing maximal amount of classical information to be encoded, are derived. Later, an explicit protocol for the splitting and sharing of a two qubit entangled state among two parties, using this state as an entangled resource, is demonstrated. PACS numbers: Keywords:Entanglement, an entirely quantum mechanical phenomenon, has been a subject of intense research, since the days of Schrödinger [1] and Einstein [2]. In recent times, it has received renewed attention with the advent of quantum information processing [3]. The amalgamation of the principles of quantum entanglement and information theory has led to the possibility of carrying out tasks, which would have been otherwise impossible in the classical world [4,5]. The fact that some of the finite dimensional spin states naturally occur in physical systems and these can be experimentally realized makes them the states of choice for explicating quantum protocols [6]. The search for physically occurring entangled systems, which can be used for carrying out these quantum tasks, is of interest to both theorists and experimentalists.A natural system attracting considerable interest is that of spin chains, where the Heisenberg exchange interaction can create desired entangled states [7]. Quantum dots have also shown considerable promise in the realization of these states, which can be manipulated by varying the voltage applied through gate electrodes between adjacent quantum dots [8]. Interestingly, entanglement has been found to be retained even up to certain non-vanishing temperature. Entangled states e.g., Bell states |φ ± = 1 √ 2, (|01 ± |10 ) multipartite cluster states [7,9]:have found application in carrying out various quantum tasks like error correction [9] and state sharing [10]. In a spin chain, low lying magnon excitations of the ground state can show robust entanglement properties. In fact, the well known Bell states and W states of the form [11,12,13] are natural one magnon states, above the ferromagnetic ground states formed of two and three particles respectively. Although Bell states can be used for achieving perfect teleportation of, |ψ 1 = α|0 + β|1 , (α, β ∈ C, |α| 2 + |β| 2 = 1) the symmetric W states cannot be used. However, |W ′ can be used for the perfect teleportation of |ψ 1 in the case where |α| 2 + |β| 2 = |γ| 2 . Hence, the characterization of different multipartite magnon states need careful investigation for diverse quantum tasks. In this paper, we systematically investigate the four qubit, two magnon state for its ability to carry out various quantum tasks like teleportation, state sharing and dense coding. We...

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Section: Quantum Information Splitting Of An Entangled Statementioning

confidence: 99%

Multipartite entangled magnon states as quantum communication channels

Prasath

Muralidharan

Mitra

et al. 2011

Quantum Inf Process

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“…Zhang et al considered a multiparty quantum secret sharing protocol of the classical secret based on entanglement swapping of Bell states [11]. There are also many quantum secret sharing protocols considering sharing quantum information [5,6,7,12,13,14,15,16,17,18,19,20]. Especially, Markham et al developed a unified approach to secret sharing of both classical and quantum secrets employing graph states [20].…”

Section: Introductionmentioning

confidence: 99%

Semiquantum secret sharing using entangled states

2010

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Secret sharing is a procedure for sharing a secret among a number of participants such that only the qualified subsets of participants have the ability to reconstruct the secret. Even in the presence of eavesdropping, secret sharing can be achieved when all the members are quantum. So what happens if not all the members are quantum? In this paper we propose two semi-quantum secret sharing protocols using maximally entangled GHZ-type states in which quantum Alice shares a secret with two classical parties, Bob and Charlie, in a way that both parties are sufficient to obtain the secret, but one of them cannot. The presented protocols are also showed to be secure against eavesdropping.

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“…Shared quantum entanglements as important quantum resources and play key roles in the field of quantum information science, such as quantum key distribution [1][2][3][4], quantum state teleportation [5][6][7][8][9], quantum state sharing [10][11][12][13], quantum operation teleportation [14][15][16], and so on. Enlightened by the generalization of quantum state teleportation to quantum state sharing, with shared entanglements Zhang and Cheung [17] presented a new kind of quantum control named quantum operation sharing (QOS) in 2011.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic Three-Party Sharing of Operation on a Remote Qubit

Xie

Liu

Xing

et al. 2015

Entropy

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A probabilistic tripartite single-qubit operation sharing scheme is put forward by utilizing a two-qubit and a three-qubit non-maximally entangled state as quantum channels. Some specific comparisons between our scheme and another probabilistic scheme are made. It is found that, if the product of the two minimal coefficients characterizing channel entanglements is greater than 3/16, our scheme is more superior than the other one. Nonetheless, the price is that more classical and quantum resources are consumed, and the operation difficulty is rather increased. Moreover, some important features of the scheme, such as its security, probability and sharer symmetry, are revealed through concrete discussions. Additionally, the experimental feasibility of our scheme is analyzed and subsequently confirmed according to the current experimental techniques.

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Quantum-information splitting using multipartite cluster states

Cited by 206 publications

References 33 publications

Multipartite entangled magnon states as quantum communication channels

Multipartite entangled magnon states as quantum communication channels

Semiquantum secret sharing using entangled states

Probabilistic Three-Party Sharing of Operation on a Remote Qubit

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