High fidelity quantum cloning of two known nonorthogonal quantum states via weak measurement

Abstract

We propose a scheme to enhance the fidelity of symmetric quantum cloning machine using a weak measurement. By adjusting the intensity of weak measurement parameter $p$, we obtain the copies with different optimal fidelity. Choosing proper value of $p$, we can obtain the perfect copies for initial qubits. In this paper, we focus on $1-2$ quantum cloning for two nonorthogonal states. Sets containing more than two linear independent states are also discussed briefly. Due to weak measurements being probabilistic, we obtain high fidelity at risk of probability. If the weak measurement successes, we do the following operations to obtain copies with high fidelity, otherwise, the cloning process fails and we need do nothing. From this perspective, the scheme we propose is economical for saving quantum resource and time, which may be very useful in quantum information processing.

References in corpus (25)

• Quantum Cryptography
• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• Quantum Copying: Beyond the No-Cloning Theorem
• Quantum cloning
• Optimal Universal and State-Dependent Quantum Cloning
• Probabilistic cloning and identification of linearly independent quantum states
• Quantum State Discrimination
• Unambiguous Discrimination Between Linearly-Independent Quantum States
• Phase covariant quantum cloning
• Optimal quantum cloning of orbital angular momentum photon qubits via Hong-Ou-Mandel coalescence
• Reversing the Weak Quantum Measurement for a Photonic Qubit
• Optimal Quantum Cloning via Stimulated Emission
• Quantum Cloning Machines and the Applications
• Experimental Quantum Cloning with Prior Partial Information
• Simplified quantum logic with trapped ions
• Phase-covariant quantum cloning of qudits
• Integrated-optics heralded controlled-NOT gate for polarization-encoded qubits
• Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning
• Quantum optical realization of arbitrary linear transformations allowing for loss and gain
• General impossible operations in quantum information
• NMR Experimental Demonstration of Probabilistic Quantum Cloning
• Optimal cloning of qubits given by arbitrary axisymmetric distribution on Bloch sphere
• Quantum information processing using nuclear and electron magnetic resonance: review and prospects
• Transformations between symmetric sets of quantum states
• Liquid state NMR Quantum Computing

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• Broadcasting of correlations via orthogonal & non-orthogonal state dependent cloners