Quantum union bounds for sequential projective measurements

Abstract

We present two new quantum union bounds for sequential projective measurements. These bounds estimate the disturbance accumulation and probability of outcomes when the measurements are performed sequentially. These results are based on a trigonometric representation of quantum states and should have wide application in quantum information theory for information processing tasks such as communication and state discrimination, and perhaps even in the analysis of quantum algorithms.

References in corpus (3)

• Sequential weak measurement
• Sequential projective measurements for channel decoding
• Universal quantum data compression via gentle tomography

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