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1
Intro
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Measurements in quantum information theory
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General case: density operators and POVMs
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Mutually unbiased bases (MUBs)
5
MUBS in quantum information
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MUBs and complementarity
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Mutually unbiased measurements (MUMs)
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MUM characterisation
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Similarities between MUBs and MUMS
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Differences between MUBs and MUMS
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Witnessing Bell nonlocality: Bell inequalities
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Bell inequalities for d-outcome MUMS
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Device-independent quantum key distribution
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Lower bounds: heuristic optimisation
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Summary
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Upper bounds: Moroder hierarchy
Description:
Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore the concept of mutually unbiased measurements in quantum theory through this 57-minute colloquium presented by Dr Máté Farkas from ICFO Barcelona. Delve into the complementary nature of mutually unbiased bases (MUBs) and their significance in quantum information processing tasks. Examine examples such as photon polarisation and spin measurements, and understand their applications in quantum state tomography, communication, Bell inequalities, and cryptography. Investigate the characteristics of mutually unbiased measurements (MUMs), comparing their similarities and differences with MUBs. Learn about Bell nonlocality, device-independent quantum key distribution, and optimization techniques for lower and upper bounds. Gain insights into the fundamental principles of quantum measurements and their practical implications in the field of quantum information.

Mutually Unbiased Measurements in Quantum Information Theory

Centrum Fizyki Teoretycznej PAN
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