Cloning and Cryptography with Quantum Continuous Variables

Details Cloning and Cryptography with Quantum Continuous Variables Cloning and Cryptography with Quantum Continuous Variables

2001-07-16

arxiv.org/abs/quant-ph/0107077v2

Eur. Phys. J. D 18, 211-218 (2002)

Physics

Quantum Physics

8 pages, 3 figures, submitted to the special issue of the European Physical Journal D on "Quantum interference and cryptograph

Scientific paper

10.1140/epjd/e20020025

The cloning of quantum variables with continuous spectra is investigated. We define a Gaussian 1-to-2 cloning machine, which copies equally well two conjugate variables such as position and momentum or the two quadrature components of a light mode. The resulting cloning fidelity for coherent states, namely $F=2/3$, is shown to be optimal. An asymmetric version of this Gaussian cloner is then used to assess the security of a continuous-variable quantum key distribution scheme that allows two remote parties to share a Gaussian key. The information versus disturbance tradeoff underlying this continuous quantum cryptographic scheme is then analyzed for the optimal individual attack. Methods to convert the resulting Gaussian keys into secret key bits are also studied. The extension of the Gaussian cloner to optimal $N$-to-$M$ continuous cloners is then discussed, and it is shown how to implement these cloners for light modes, using a phase-insensitive optical amplifier and beam splitters. Finally, a phase-conjugated inputs $(N,N')$-to-$(M,M')$ continuous cloner is defined, yielding $M$ clones and $M'$ anticlones from $N$ replicas of a coherent state and $N'$ replicas of its phase-conjugate (with $M'-M=N'-N$). This novel kind of cloners is shown to outperform the standard $N$-to-$M$ cloners in some situations.

Affiliated with

Also associated with

No associations

Rating

Cloning and Cryptography with Quantum Continuous Variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Cloning and Cryptography with Quantum Continuous Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cloning and Cryptography with Quantum Continuous Variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472926