5.3k citations · 25.9k across the 91 of their papers we have counts for
5 papers · 2 filters
Unextendible maximally entangled bases
Sergei Bravyi, John A. Smolin
We introduce the notion of the unextendible maximally entangled basis (UMEB), a set of orthonormal maximally entangled states in d \times d consisting of fewer that d^2 vectors whi…
Can closed timelike curves or nonlinear quantum mechanics improve quantum state discrimination or help solve hard problems?
Charles H. Bennett, Debbie Leung, Graeme Smith +1
We study the power of closed timelike curves (CTCs) and other nonlinear extensions of quantum mechanics for distinguishing nonorthogonal states and speeding up hard computations. I…
High performance single-error-correcting quantum codes for amplitude damping
Peter W. Shor, Graeme Smith, John A. Smolin +1
We construct families of high performance quantum amplitude damping codes. All of our codes are nonadditive and most modestly outperform the best possible additive codes in terms o…
Extensive nonadditivity of privacy
Graeme Smith, John A. Smolin
Quantum information theory establishes the ultimate limits on communication and cryptography in terms of channel capacities for various types of information. The private capacity i…
Generalized Concatenated Quantum Codes
Markus Grassl, Peter Shor, Graeme Smith +2
We introduce the concept of generalized concatenated quantum codes. This generalized concatenation method provides a systematical way for constructing good quantum codes, both stab…