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arXiv:0804.4215

Minimal classical communication and measurement complexity for quantum information splitting of a two qubit state

Siddharth Karumanchi, Sreraman Muralidharan, Prasanta Kumar Panigrahi

Published Apr 26, 2008• 0 citations
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Abstract

We provide explicit schemes for quantum information splitting (QIS) of real or equatorial two qubit states among two parties, through the five particle cluster and Brown states respectively. The schemes introduced are neither fully deterministic nor completely probabilistic and are carried out in the case where, the information that is to be shared is partially or fully known to the sender. We show that, QIS can be accomplished with just two classical bits, as against four classical bits, when the information is unknown to the sender.

DOI
10.48550/arxiv.0804.4215

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We provide explicit schemes for quantum information splitting (QIS) of real or equatorial two qubit states among two parties, through the five particle cluster and Brown states respectively. The schemes introduced are neither fully deterministic nor completely probabilistic and are carried out in the case where, the information that is to be shared is partially or fully known to the sender. We show that, QIS can be accomplished with just two classical bits, as against four classical bits, when the information is unknown to the sender.
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A new application of cluster states is investigated for quantum information splitting (QIS) of an arbitrary three-qubit state. In our scheme, a four-qubit cluster state and a Bell state are shared by a sender (Alice), a controller (Charlie), and a receiver (Bob). Both the sender and controller only need to perform Bell-state measurements (BSMs), the receiver can reconstruct the arbitrary three-qubit state by performing some appropriately unitary transformations on his qubits after he knows the measured results of both the sender and the controller. This QIS scheme is deterministic.
We propose a scheme for splitting a two-qubit quantum information by using two asymmetric W states as quantum channel. In this scheme the split state is assumed to be completely known by the sender. Because of this, during the splitting process, the sender only needs to perform a two-qubit projective measurement. Once the sender announces the measurement result in terms of the prior agreement, then using this message the two receivers can recover the quantum information via their mutual assistance. We calculate the success probability and classical communication cost of the scheme. In general, the splitting success probability (SSP) is 1/4 and the average classical communication cost is 0.25 bit. However, we find that for some states the SSP can reach 0.5 or even unity after consuming a little additional classical resource.
Quantum information splitting (QIS) provides an idea for transmitting the quantum state through a classical channel and a preshared quantum entanglement resource. This paper presents a new scheme for QIS based on a five-qubit cluster state and a Bell state. In this scheme, the sender transmits the unknown three-qubit secret state to two agents by the quantum channel with the Bell basis measurement three times and broadcasts the measurement results to the agents through the classical channel. The agent who restores the secret state can successfully recover the initial information to be transmitted through the appropriate unitary operation with the help of the other party. Firstly, our scheme's process can be accurately realized by performing the applicable Bell basis measurement, single-qubit measurement, and local unitary operation instead of a multiparticle joint measurement. The splitting process of quantum information is realized through a convenient operation. Secondly, compared with some previous schemes, the efficiency of the total scheme has been improved in principle, and the qubit consumption is reduced. Finally, the security of the quantum information splitting scheme is analyzed from the perspectives of external attacks and participant attacks. It is proved that our scheme can effectively resist internal participant attacks and external eavesdropper attacks.
A scheme is presented for quantum information splitting of an unknown two-particle entangled state by using five-particle cluster state as the quantum channel.The sender(Alice),the receiver(Bob) and the controller(Charlie) share the quantum channel.The sender Alice sends the quantum information to the receiver Bob,anyone can not obtain the quantum information,unless they cooperate with each other.The receiver can reconstruct two-particle entangled state by performing appropriate unitary transformations on his qubits after the sender and controller perform the appropriate measurements on their qubits.respectively.