Optimal quantum-programmable projective measurement with linear optics

Abstract

We present a scheme for a universal device which can be programmed by quantum states to approximate a chosen projective measurement to a given precision. Our scheme can be viewed as an extension of the swap test to the instance where one state is supplied many times. As such, it has many potential applications given the variety of quantum information tasks which make use of the swap test. In particular, we show that our scheme is optimal for state discrimination under the one-sided error requirement, and optimally approximates any projective measurement. Furthermore, we propose a practical implementation of our scheme with passive linear optics, which involves a simple interferometer composed only of balanced beam splitters.

arXiv comment12 pages, 7 figures

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• Quantum Similarity Testing with Convolutional Neural Networks
• Information-theoretically secure data origin authentication with quantum and classical resources
• Optimal quantum-programmable projective measurements with coherent states
• A Unified Framework For Quantum Unforgeability
• Universal adjointation of isometry operations using conversion of quantum supermaps
• Continuous Variable Quantum Advantages and Applications in Quantum Optics
• Quantum Advantage in Storage and Retrieval of Isometry Channels