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Minimal classical communication and measurement complexity for quantum information splitting

Zhan-jun Zhang, Chi-Yee Cheung

We present two quantum information splitting schemes using respectively tripartite GHZ and asymmetric W states as quantum channels. We show that if the secret state is chosen from a special ensemble and known to the sender (Alice), then she can split and distribute it to the receivers Bob and Charlie by performing only a single-qubit measurement and broadcasting a one-cbit message. It is clear that no other schemes could possibly achieve the same goal with simpler measurement and less classical communication. In comparison, existing schemes work for arbitrary quantum states which need not be known to Alice; however she is required to perform a two-qubit Bell measurement and communicate a two-cbit message. Hence there is a trade-off between flexibility and measurement complexity plus classical resource. In situations where our schemes are applicable, they will greatly reduce the measurement complexity and at the same time cut the communication overhead by one half.We present two quantum information splitting schemes using respectively tripartite GHZ and asymmetric W states as quantum channels. We show that if the secret state is chosen from a special ensemble and known to the sender (Alice), then she can split and distribute it to the receivers Bob and Charlie by performing only a single-qubit measurement and broadcasting a one-cbit message. It is clear that no other schemes could possibly achieve the same goal with simpler measurement and less classical communication. In comparison, existing schemes work for arbitrary quantum states which need not be known to Alice; however she is required to perform a two-qubit Bell measurement and communicate a two-cbit message. Hence there is a trade-off between flexibility and measurement complexity plus classical resource. In situations where our schemes are applicable, they will greatly reduce the measurement complexity and at the same time cut the communication overhead by one half.

arXiv:0812.4214Journal of Physics B Atomic Molecular and Optical PhysicsDec 20, 200765 citations

Quantum Information Splitting of Arbitrary Two-Qubit State Via a Five-Qubit Cluster State and a Bell-State

Yaming Yang, Dongfen Li, Mingzhe Liu +1 more

International Journal of Theoretical PhysicsJan 1, 20206 citations

Minimal measurement complexity for quantum information splitting of two-qubit state

Guixia Pan

A quantum information splitting scheme of two-qubit state is proposed by using two asymmetric W states as quantum channel.It's showed that if the two-qubit state is known to the sender(Alice),then she can split quantum information and distribute it to the receivers(Bob and Charlie) by performing a two-qubit projective measurement.Bob and Charlie first perform a collective unitary operation on their qubits,and then Charlie can recover the initial quantum state by implementing two single-qubit unitary operations.So the scheme reduces greatly the measurement complexity.The success probability and classical communication cost are calculated within the scheme.A quantum information splitting scheme of two-qubit state is proposed by using two asymmetric W states as quantum channel.It's showed that if the two-qubit state is known to the sender(Alice),then she can split quantum information and distribute it to the receivers(Bob and Charlie) by performing a two-qubit projective measurement.Bob and Charlie first perform a collective unitary operation on their qubits,and then Charlie can recover the initial quantum state by implementing two single-qubit unitary operations.So the scheme reduces greatly the measurement complexity.The success probability and classical communication cost are calculated within the scheme.

Chinese Journal of Quantum ElectronicsJan 1, 20100 citations

Quantum Information Splitting of a Two-qubit Bell State Using a Five-qubit Entangled State

Ruijin Wang, Dongfen Li, Fuhu Deng

International Journal of Theoretical PhysicsFeb 15, 201510 citations

Quantum Communication Complexity

Gilles Brassard A

Foundations of PhysicsOct 24, 2003141 citations

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

Siddharth Karumanchi, Sreraman Muralidharan, Prasanta Kumar Panigrahi

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.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.

arXiv:0804.4215Apr 26, 20080 citations

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

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