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Correcting Quantum Errors with Entanglement
- T. Brun, I. Devetak, Min-Hsiu Hsieh
- Computer Science, PhysicsScience
- 11 October 2006
TLDR
Quantum Computing
- T. Brun
- Computer ScienceComputer Science, The Hardware, Software and…
- 2011
Optimal entanglement formulas for entanglement-assisted quantum coding
We provide several formulas that determine the optimal number of entangled bits (ebits) that a general entanglement-assisted quantum code requires. Our first theorem gives a formula that applies to…
Hitting time for quantum walks on the hypercube (8 pages)
Hitting times for discrete quantum walks on graphs give an average time before the walk reaches an ending condition. To be analogous to the hitting time for a classical walk, the quantum hitting time…
A simple model of quantum trajectories
- T. Brun
- Physics
- 29 August 2001
Quantum trajectory theory, developed largely in the quantum optics community to describe open quantum systems subjected to continuous monitoring, has applications in many areas of quantum physics. I…
Entanglement increases the error-correcting ability of quantum error-correcting codes
TLDR
Quantum to classical transition for random walks.
- T. Brun, H. Carteret, A. Ambainis
- PhysicsPhysical review letters
- 30 August 2002
TLDR
Quantum walks with infinite hitting times
Hitting times are the average time it takes a walk to reach a given final vertex from a given starting vertex. The hitting time for a classical random walk on a connected graph will always be finite.…
Quantum Error Correction
- T. Brun
- Computer Science, PhysicsOxford Research Encyclopedia of Physics
- 8 October 2019
TLDR
Weak measurements are universal.
- O. Oreshkov, T. Brun
- MathematicsPhysical review letters
- 2 March 2005
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