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Topological approach toward quantum codes with realistic physical constraints
Beni Yoshida
The following open problems, which concern a fundamental limit on coding properties of quantum codes with realistic physical constraints, are analyzed and partially answered here:…
Quantum codes give counterexamples to the unique pre-image conjecture of the N-representability problem
Samuel A. Ocko, Xie Chen, Bei Zeng +4
It is well known that the ground state energy of many-particle Hamiltonians involving only 2-body interactions can be obtained using constrained optimizations over density matrices…
Classification of quantum phases and topology of logical operators in an exactly solved model of quantum codes
Beni Yoshida
Searches for possible new quantum phases and classifications of quantum phases have been central problems in physics. Yet, they are indeed challenging problems due to the computati…
Framework for classifying logical operators in stabilizer codes
Beni Yoshida, Isaac L. Chuang
Entanglement, as studied in quantum information science, and non-local quantum correlations, as studied in condensed matter physics, are fundamentally akin to each other. However,…