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Asymptotic theory of finite dimensional normed spaces
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Completely bounded maps and dilations
Quantum circuits with mixed states
STOC '98 Proceedings of the thirtieth annual ACM symposium on Theory of computing
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Geometry of Quantum States: An Introduction to Quantum Entanglement
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CCC '07 Proceedings of the Twenty-Second Annual IEEE Conference on Computational Complexity
Algorithms for quantum computation: discrete logarithms and factoring
SFCS '94 Proceedings of the 35th Annual Symposium on Foundations of Computer Science
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Quantum Information Processing
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Quantum Information & Computation
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Quantum Information Processing
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The paper analyzes the behavior of quantum channels, particularly in large dimensions, by proving various properties of the quantum gate fidelity. Many of these properties are of independent interest in the theory of distance measures on quantum operations. A non-uniqueness result for the gate fidelity is proven, a consequence of which is the existence of non-depolarizing channels that produce a constant gate fidelity on pure states. Asymptotically, the gate fidelity associated with any quantum channel is shown to converge to that of a depolarizing channel. Methods for estimating the minimum of the gate fidelity are also presented.