Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Correcting Quantum Errors with Entanglement
- T. Brun, I. Devetak, Min-Hsiu Hsieh
- Computer Science, Physics
- Science
- 11 October 2006
TLDR
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… Expand
Quantum Error Correction
- T. Brun
- Mathematics, Physics
- 8 October 2019
Quantum error correction is a set of methods to protect quantum information--that is, quantum states--from unwanted environmental interactions (decoherence) and other forms of noise. The information… Expand
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… Expand
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… Expand
Quantum to classical transition for random walks.
- T. Brun, H. Carteret, A. Ambainis
- Mathematics, Physics
- Physical review letters
- 30 August 2002
We look at two possible routes to classical behavior for the discrete quantum random walk on the integers: decoherence in the quantum "coin" which drives the walk, or the use of higher-dimensional… Expand
Catalytic Quantum Error Correction
- T. Brun, I. Devetak, Min-Hsiu Hsieh
- Computer Science, Physics
- IEEE Transactions on Information Theory
- 2 August 2006
TLDR
Quantum walks driven by many coins
- T. Brun, H. Carteret, A. Ambainis
- Physics
- 23 October 2002
Quantum random walks have been much studied recently, largely due to their highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum… Expand
Entanglement-assisted quantum error-correcting codes with imperfect ebits
versions of this problem. We rst show that any (nondegenerate) standard stabilizer code can be transformed into an EAQEC code that can correct errors on the qubits of both sender and receiver. These… Expand