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SemM
Gold Member
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Hi, would someone be willing to write a pedagogic article on the Quantum Marginal Problem?
Thanks!
Thanks!
What have you looked up on your own? Do you really think that this can be a topic of brand interest?SemM said:Hi, would someone be willing to write a pedagogic article on the Quantum Marginal Problem?
DrClaude said:What have you looked up on your own? Do you really think that this can be a topic of brand interest?
The Quantum Marginal problem is a problem in quantum mechanics that seeks to determine the compatibility of a set of quantum states with a given set of marginal probabilities. In simpler terms, it is a mathematical problem that arises when trying to determine the possible states of a quantum system based on limited information.
The Quantum Marginal problem is important because it has implications for many areas of physics, including quantum information theory, quantum cryptography, and quantum computing. It also has applications in other fields, such as chemistry and biology, where quantum systems play a role.
The Quantum Marginal problem can be solved using a variety of mathematical techniques, including semidefinite programming and convex optimization. These techniques allow researchers to find the set of quantum states that best fit the given marginal probabilities.
The Quantum Marginal problem has real-world applications in fields such as quantum cryptography, where it is used to determine the security of quantum key distribution protocols. It also has applications in quantum chemistry, where it can be used to analyze the electronic structure of molecules.
The Quantum Marginal problem is still an active area of research and is considered an open problem. While there have been significant developments in solving certain cases of the problem, there is still much work to be done in fully understanding and solving it.