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Chinese Physics Letters

Quantum State Sharing by Using Two-Mode and Single-Mode Squeezed State Lights

Zhang Jun-Xiang, Jing Jie-Tai, Changde Xie, Kunchi Peng

Published Oct 27, 2005• 4 citations
Publisher

Abstract

We propose a quantum state sharing scheme for continuous variables using bright two-mode squeezed state and single-mode squeezed state light. The squeezing of a single-mode state is applied to enhance the security of information in quantum teleportation network. The signal-to-noise ratio of communication and the fidelity between the secret and reconstruction state are analysed. It is shown that both the receivers of Bob and Charlie cannot extract information with a high signal-to-noise ratio because of the large noise come from the other quadrature component of single mode squeezed state. Anyone of Bob and Charlie can retrieve the quantum state with a high signal-to-noise ratio if and only if the other one cooperates with the measurement.

DOI
10.1088/0256-307x/22/11/007

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We propose a quantum state sharing scheme for continuous variables using bright two-mode squeezed state and single-mode squeezed state light. The squeezing of a single-mode state is applied to enhance the security of information in quantum teleportation network. The signal-to-noise ratio of communication and the fidelity between the secret and reconstruction state are analysed. It is shown that both the receivers of Bob and Charlie cannot extract information with a high signal-to-noise ratio because of the large noise come from the other quadrature component of single mode squeezed state. Anyone of Bob and Charlie can retrieve the quantum state with a high signal-to-noise ratio if and only if the other one cooperates with the measurement.
Scheme of quantum cryptography based on single mode quadrature phase and amplitude squeezed state lights is presented. The binary key is obtained by modulating the phase quadrature or amplitude quadrature of the quadrature squeezed coherent state. The uncertainty relation of quantum mechanics provides the quantum protection. Eavesdropping from optical tapping will degrade the signal to noise ratio of the results measured by the authorized receiver and hence be revealed. Comparing with that using a coherent state light, the application of the squeezed state light enhances the security significantly.
Abstract A new quantum network dialogue protocol is designed by using the entanglement property of the continuous-variable single-mode squeezed states. To verify the security of the channel in the protocol, Alice should send single-mode squeezed states respectively to Bob, Charlie, and etc. Then Bob, Charlie et al could encode the secret information with a specific encoding rule, insert the Gaussian random data into the encoded message and send them to Alice. They could deduce the secret information of their counterparts according to the measurement results. In addition, each communication party could dialogue with another communicator in a quantum way. The new proposed quantum network dialogue protocol based on single-mode squeezed states is much easier to implement compared with those based on the discrete-variable quantum states.
A novel quantum switch for continuous variables teleportation is proposed. Two pairs of EPR beams with identical frequency and constant phase relation are composed on two beamsplitters to produce two pairs of conditional entangled beams, two of which are sent to two sending stations(Alices) and others to two receiving stations(bobs). The EPR entanglement initionally results from two-mode quadrature squeezed state light. Converting the squeezed component of one of EPR sources between amplitude and phase, the input quantum state at a sender will be reproduced at two receivers in turn. The switching system manipulated by squeezed state light might be developed as a practical quantum switch device for the communication and teleportation of quantum information.
Quantum communication networks can be built on quantum teleportation, which is the transmission of an unknown quantum state from a sending station to a remote receiving station supported by entangled states and classical communication. We use a continuous variable two-mode squeezed vacuum state as a resource state for the quantum teleportation. This state is shared by Alice and Bob, and their system comes into contact with a squeezed thermal environment. The conditions for a secure quantum teleportation require a teleportation fidelity larger than 2/3 and two-way steering of the resource state. We investigate the time evolution of the steering and the fidelity of teleportation in order to determine the values of the parameters required for a successful secure quantum teleportation of a coherent Gaussian state. We show that the temperature, dissipation rate and squeezing parameter of the squeezed thermal reservoir limit the feasible duration for secure quantum teleportation, while by increasing the squeezing parameter of the initial state one can effectively expand the temporal range for a successful secure quantum teleportation.
We propose a quantum teleportation scheme in which a quantum state is teleported from the sending station (Alice) to either of two receiving stations (Bob1, Bob2). In this scheme, two pairs of EPR beams with identical frequency and constant phase relation are used to produce two pairs of conditional entangled beams by composing their modes on two beamsplitters. One output of a beamsplitter is sent to Alice and the two outputs of the other beamsplitter are sent to Bob1 and Bob2. Which receiving station actually receives the teleported state can be decided by correlating the in-phase or out-of-phase quadrature components of two two-mode squeezed vacuum states. The switch system manipulated by squeezed state light might be developed as a practical quantum switch device for the communication and teleportation of quantum information.
We consider two-mode squeezed states which are parametrized by the squeezing parameter and the phase. We present a scheme for teleporting such entangled states of continuous variables from Alice to Bob. Our protocol is operationalized through the creation of a four-mode entangled state shared by Alice and Bob using linear amplifiers and beam splitters. Teleportation of the entangled state proceeds with local operations and the classical communication of four bits. We compute the fidelity of teleportation and find that it exhibits a trade-off with the magnitude of entanglement of the resultant teleported state.