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Publications Influence

Correcting Quantum Errors with Entanglement

- T. Brun, I. Devetak, Min-Hsiu Hsieh
- Computer Science, Physics
- Science
- 11 October 2006

TLDR

217 30- PDF

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

99 9- PDF

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

71 8- PDF

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

95 7- PDF

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

177 6- PDF

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

124 6- PDF

Catalytic Quantum Error Correction

- T. Brun, I. Devetak, Min-Hsiu Hsieh
- Computer Science, Physics
- IEEE Transactions on Information Theory
- 2 August 2006

TLDR

55 5- PDF

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

119 5- PDF

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

26 5- PDF