Elements of information theory
Elements of information theory
SIAM Journal on Computing
Communication complexity
Quantum vs. classical communication and computation
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
Exponential separation of quantum and classical communication complexity
STOC '99 Proceedings of the thirty-first annual ACM symposium on Theory of computing
On quantum and probabilistic communication: Las Vegas and one-way protocols
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
Interaction in quantum communication and the complexity of set disjointness
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Quantum computation and quantum information
Quantum computation and quantum information
The Quantum Communication Complexity of Sampling
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Optimal Lower Bounds for Quantum Automata and Random Access Codes
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
Communication Complexity Lower Bounds by Polynomials
CCC '01 Proceedings of the 16th Annual Conference on Computational Complexity
Lower Bounds for Quantum Communication Complexity
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Lower bounds for quantum computation and communication
Lower bounds for quantum computation and communication
IEEE Transactions on Information Theory
Quantum communication and complexity
Theoretical Computer Science - Natural computing
Tensor norms and the classical communication complexity of nonlocal quantum measurement
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Lower Bounds for Generalized Quantum Finite Automata
Language and Automata Theory and Applications
A lower bound on entanglement-assisted quantum communication complexity
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
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Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or significantly reduce the classical complexity of computing functions (as compared to private-coin protocols), shared entanglement leads to startling phenomena such as "quantum teleportation" and "superdense coding."The problem of characterising the power of prior entanglement has puzzled many researchers. In this paper, we revisit the problem of transmitting classical bits over an entanglement-assisted quantum channel. We derive a new, optimal bound on the number of quantum bits required for this task, for any given probability of error. All known lower bounds in the setting of bounded error entanglement-assisted communication are based on sophisticated information theoretic arguments. In contrast, our result is derived from first principles, using a simple linear algebraic technique.