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arXiv:quant-ph/0612119 · Physical Review Letters

Fiber-Optics Implementation of an Asymmetric Phase-Covariant Quantum Cloner

Lucie Bartůšková, Miloslav Dušek, Antonín Černoch, Jan Soubusta, Jaromı́r Fiurášek

Published Sep 21, 2007• 47 citations
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Abstract

We present the experimental realization of optimal symmetric and asymmetric phase-covariant 1-->2 cloning of qubit states using fiber optics. The state of each qubit is encoded into a single photon which can propagate through two optical fibers. The operation of our device is based on one- and two-photon interference. We have demonstrated the creation of two copies for a wide range of qubit states from the equator of the Bloch sphere. The measured fidelities of both copies are close to the theoretical values and they surpass the theoretical maximum obtainable with the universal cloner.

DOI
10.1103/physrevlett.99.120505

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We present the first experimental implementation of a multifunctional device for the optimal cloning of one to two qubits. Previous implementations have always been designed to optimize the cloning procedure with respect to one single type of a priori information about the cloned state. In contrast, our ``all-in-one'' implementation is optimal for several prominent regimes such as universal cloning, phase-covariant cloning, and also the first ever realized mirror phase-covariant cloning, when the square of the expected value of Pauli's ZZZ operator is known in advance. In all these regimes the experimental device yields clones with almost maximum achievable average fidelity (97.5% of theoretical limit). Our device has a wide range of possible applications in quantum information processing, especially in quantum communication. For instance, one can use it for incoherent and coherent attacks against a variety of cryptographic protocols, including the Bennett-Brassard 1984 protocol of quantum key distribution through the Pauli damping channels. It can be also applied as a state-dependent photon multiplier in practical quantum networks.
We present the results of a linear optics photonic implementation of a quantum circuit that simulates a phase covariant cloner. Input polarization qubit states are cloned into path qubit states of the same photon, which is identified as a potential eavesdropper in a quantum key distribution protocol. The device has the flexibility to simulate optimal and non-optimal cloning machines, as well as mirrored versions that optimally clone states on either the northern or southern hemispheres of the Bloch sphere. We experimentally simulate the effect of a single 1→21\rightarrow 21→2 cloner, as well as the action of a random sequence of the original cloner and its mirrored version. This procedure allows the eavesdropper to mitigate the amount of noise added to the original copy and therefore to mask its presence.
The experimental realization of optimal symmetric phase-covariant $1\ensuremath{\rightarrow}2$ cloning of qubit states is presented. The qubits are represented by polarization states of photons generated by spontaneous parametric down-conversion. The experiment is based on the interference of two photons on a custom-made beam splitter with different splitting ratios for vertical and horizontal polarization components. From the measured data we have estimated the implemented cloning transformation using the maximum-likelihood method. The result shows that the realized transformation is very close to the ideal one and the map fidelity reaches 94%.
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