Elements of information theory
Elements of information theory
Quantum computation and quantum information
Quantum computation and quantum information
Channel simulation with quantum side information
IEEE Transactions on Information Theory
Classical capacity of a noiseless quantum channel assisted by noisy entanglement
Quantum Information & Computation
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
IEEE Transactions on Information Theory
General formulas for capacity of classical-quantum channels
IEEE Transactions on Information Theory
A tight lower bound on the classical communication cost of entanglement dilution
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
A Resource Framework for Quantum Shannon Theory
IEEE Transactions on Information Theory
Entanglement-assisted communication of classical and quantum information
IEEE Transactions on Information Theory
Trading classical communication, quantum communication, and entanglement in quantum Shannon theory
IEEE Transactions on Information Theory
A quasipolynomial-time algorithm for the quantum separability problem
Proceedings of the forty-third annual ACM symposium on Theory of computing
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Consider many instances of an arbitrary quadripartite pure state of four quantum systems ABCD. Alice holds the AC part of each state, Bob holds B, while R represents all other parties correlated with ABC. Alice is required to redistribute the C systems to Bob while asymptotically preserving the overall purity. We prove that this is possible using Q qubits of communication and E ebits of shared entanglement between Alice and Bob, provided that Q ≥ 1/2 I(C; D|B) and Q+E ≥ H(C|B). proving the optimality of the Luo-Devetak outer bound. The optimal qubit rate provides the first known operational interpretation of quantum conditional mutual information. We also show how our protocol leads to a fully operational proof of strong subaddivity and uncover a general organizing principle, in analogy to thermodynamics, that underlies the optimal rates.