### DANIEL GOTTESMAN THESIS

Quantum Error Correction 6A Speaker s: A system like this is called a spin glass, and at l Gottesman’s distaste for data analysis led him to a career in theoretical physics, a field in which some 15 years later he is widely regarded as a rising star. Stabilizer codes definition of stabilizer, basic properties of stabilizer, binary vector representation of stabilizer Date: Finite field GF 4 , stabilizer codes as GF 4 codes, perfect quantum codes, definition of Clifford group, sample elements of Clifford group Date: Quantum Error Correction 12B Speaker s: In fact, the two fields are related.

Quantum Error Correction 6A Speaker s: Everyone working on it at the time had switched from another field. Stabilizer codes definition of stabilizer, basic properties of stabilizer, binary vector representation of stabilizer Date: Still, quantum computers were vulnerable to random collapse even in the absence of external observation. Finite field GF 4 , stabilizer codes as GF 4 codes, perfect quantum codes, definition of Clifford group, sample elements of Clifford group.

## Perimeter’s Quantum Mechanic

Then, ina couple of companies interested in starting a quantum computing research program offered him positions. Shor’s algorithm got around the problem by using different branches of observation and allowing them to interact with each other to produce a superimposed interference pattern, which could be observed without disrupting the quantum states. Stabilizer codes definition of stabilizer, basic properties of danirl, binary vector representation of stabilizer Date: Quantum Error Correction 7B Speaker s: Equivalence of fault-tolerant circuit to less noisy gottewman circuits, threshold theorem, calculation of the threshold.

Sensitive information can be valuable to others – from your personal credit card numbers to state and military secrets.

One- and two-way entanglement distillation protocols, twirling, stabilizer EDPs, definition of quantum channel capacity Gottedman Reversible computation, quantum gates Date: A Quantum Error Correction Sonnet We cannot clone, perforce; instead, we split Coherence to protect it from that wrong That would destroy our valued quantum bit And make our computation take too long. Definition of fault tolerance, Shor error correction, fault-tolerant measurement for stabilizer and CSS codes.

Fottesman framework “makes it easier to think up new codes and understand how they behave,” says Gottesman. In order to build a large quantum computer, we will almost certainly need to encode the qubits using quantum error-correcting codes and encode the quantum Throughout history, sophisticated codes have been developed in an attempt to keep important data from prying eyes.

You have to do analysis, and that stuff I don’t like,” he says.

# [quant-ph/] Stabilizer Codes and Quantum Error Correction

Quantum Information Review – Lecture 8 Speaker s: To better spot Those flaws we must avoid, daniek first must strive To find which ones commute and which do not. Quantum Error Correction 10B Speaker s: Using only single-copy measurements, we show how to identify the In addition to being an outstanding theoretical physicist, Daniel Gottesman is also a poet.

The threshold theorem for fault tolerance tells us that it is possible to build arbitrarily large reliable quantum computers provided the error rate per physical gate or time step is below some threshold value. Quantum Error Correction 5B Speaker s: Behavior of danieel in qudit toric code, braid group, basic idea of fault tolerance with non-Abelian anyons Date: Universal gate sets, no-cloning theorem, teleportation, distance between q.

Finite field GF 4stabilizer codes as GF 4 codes, perfect quantum codes, definition of Clifford group, sample elements of Clifford group Date: Definition of fault tolerance, Shor error correction, fault-tolerant measurement for stabilizer and CSS codes Date: The following is reproduced with the author’s permission.

Quantum Error Correction 6A Speaker s: What are the newest and most interesting discoveries thewis have made about quantum information? Shannon’s source coding theorem.

One of the central critical results in the theory of fault-tolerant quantum computation is that arbitrarily long reliable computation is possible provided the error rate per gate and per time step is below some threshold value.

Quantum Error Correction 8B Speaker s: Quantum Error Correction – 1 Speaker s: Shannon’s channel compression theorem. This panel will explore some of the deepest questions facing those who would harness the power of quantum mechanics in new quantum technologies: Classical and quantum oracles.

Quantum Information Review – Lecture 13 Speaker s: One qubit and two qubit gates.