2N qubit “mirror states” for optimal quantum communication

Experimental realization of automated error correction is demonstrated through IBM Quantum Experience for Bell and GHZ states using a measurement based approach upon ancilla qubits. The measurement automatically activates error correcting unitary operations to restore the system to its original entangled state. We illustrate the algorithm for the maximally entangled qudit case by applying appropriate Hadamard and Controlled-NOT gates.

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“…Re[ρ E ] = 0 0.0010 0.0010 1.0000 (6) Im[ρ E ] = 0 0.0010 −0.0010 0 (7) Figure 13: Construction of the ancilla |Ψ = |1 .…”

Section: Ancillamentioning

confidence: 99%

Automated error correction in IBM quantum computer and explicit generalization

Ghosh

Agarwal

Pandey

et al. 2018

Quantum Inf Process

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“…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]. According to this theorem, one cannot use a four qubit channel for QIS of an arbitrary two qubit state.…”

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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“…One can devise different protocols for splitting of a state using the same entangled channel by redistributing the qubits among the participants. In general, it has been proven that one can devise (N − 2n) protocols for the splitting of an arbitrary n qubit state among two parties [18]. From this theorem, we can see that one can devise two protocols for the QIS of |ψ 2 among two parties.…”

Section: Introductionmentioning

confidence: 97%

Quantum tasks using six qubit cluster states

Paul¹,

Menon

Karumanchi

et al. 2010

Quantum Inf Process

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The usefulness of the recent experimentally realized six photon cluster state by C. Y. Lu et al. (2007 Nature 3 91), is investigated for quantum communication protocols like teleportation, quantum information splitting (QIS), remote state preparation and dense coding. We show that the present state can be used for the teleportation of an arbitrary two qubit state deterministically. Later we devise two distinct protocols for the QIS of an arbitrary two qubit state among two parties and systematically compare their relative merits in terms of classical communication and security. Sixteen orthogonal measurement basis on the cluster state is constructed, which will lock an arbitrary two qubit state among two parties. The usefulness of the state for dense coding is investigated and it is shown that one can send five classical bits by sending only three qubits using this state as a shared entangled resource. We finally show that this state can also be utilised in the remote state preparation of an arbitrary two qubit state.

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2N qubit “mirror states” for optimal quantum communication

Cited by 15 publications

References 35 publications

Automated error correction in IBM quantum computer and explicit generalization

Automated error correction in IBM quantum computer and explicit generalization

Multipartite entangled magnon states as quantum communication channels

Quantum tasks using six qubit cluster states

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