论文信息 - Quantum Secret Sharing with Error Correction

Quantum Secret Sharing with Error Correction

We investigate in this work a quantum error correction on a five-qubits graph state used for secret sharing through five noisy channels. We describe the procedure for the five, seven and nine qubits codes. It is known that the three codes always allow error recovery if only one among the sents qubits is disturbed in the transmitting channel. However, if two qubits and more are disturbed, then the correction will depend on the used code.

[1] Hiroshi Imai,et al. Simulating the Effects of Quantum Error-correction Schemes , 2008 .

[2] Stephan Fritzsche,et al. Simulation of n-qubit quantum systems. IV. Parametrizations of quantum states, matrices and probability distributions , 2008, Comput. Phys. Commun..

[3] Stephan Fritzsche,et al. Simulation of n-qubit quantum systems. I. Quantum registers and quantum gates , 2005, Comput. Phys. Commun..

[4] Howard E. Brandt,et al. Quantum computation and information : AMS Special Session Quantum Computation and Information, January 19-21, 2000, Washington, D.C. , 2002 .

[5] A. Steane. Multiple-particle interference and quantum error correction , 1996, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6] Stephan Fritzsche,et al. Simulation of n-qubit quantum systems. III. Quantum operations , 2007, Comput. Phys. Commun..

[7] Stephan Fritzsche,et al. Simulation of n-qubit quantum systems. II. Separability and entanglement , 2006, Comput. Phys. Commun..

[8] Austin G. Fowler. Constructing arbitrary Steane code single logical qubit fault-tolerant gates , 2011, Quantum Inf. Comput..

[9] D. Markham,et al. Graph states for quantum secret sharing , 2008, 0808.1532.

[10] Laflamme,et al. Perfect Quantum Error Correcting Code. , 1996, Physical review letters.

[11] Amílcar Sernadas,et al. Quantum Computation and Information , 2006 .