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Quantum Cryptography in Noisy Channels
Hoi-Kwong Lo, H. F. Chau
We provide a complete proof of the security of quantum cryptography against any eavesdropping attack including coherent measurements even in the presence of noise. Polarization-bas…
One-way Functions In Reversible Computations
H. F. Chau, H. -K. Lo
One-way functions are used in modern cryto-systems as doortraps because their inverse functions are supposed to be difficult to compute. Nonetheless with the discovery of reversibl…
Wavefunctions for Non-Abelian Vortices
Kai-Ming Lee, Hoi-Kwong Lo
We construct exact wavefunctions of two vortices on a plane, a single vortex on the cylinder and a vortex on the torus. In each case, the physics is shown to be equivalent to a par…
Quantum Coding Theorem for Mixed States
Hoi-Kwong Lo
We prove a theorem for coding mixed-state quantum signals. For a class of coding schemes, the von Neumann entropy of the density operator describing an ensemble of mixed quantu…
Aharonov-Bohm Order Parameters for Non-Abelian Gauge Theories
Hoi-Kwong Lo
The Aharonov-Bohm effect has been invoked to probe the phase structure of a gauge theory. Yet in the case of non-Abelian gauge theories, it proves difficult to formulate a general…
Elusive Order Parameters for Non-Abelian Gauge Theories
Hoi-Kwong Lo
In this Letter, we construct a set of order parameters for non-Abelian gauge theories which probe directly the unbroken group and are free of the deficiencies caused by quantum flu…