Result: QECC states require n (log n) additions and tensor products ... E.g. Fitch & Cronin won 1980 Physics Nobel 'merely' for showing CP symmetry is violated ...
If there is a single bit flip error, we can correct the state by choosing the ... 1st bit of error syndrome says whether the first two bits of the state are the ...
Note: The matrix Cab does not depend on i and j. As an example, consider Cab ... If Cab has rank maximum, the code is degenerate. Otherwise, it is nondegenerate. ...
Entanglement, correlations, and error-correction in the ground states of many-body systems 1 3 2 N 4 Henry L. Haselgrove1,2, Michael A. Nielsen1, and Tobias J. Osborne3
Cannot have complete isolation from environment entanglement with environment ... The computation basis is then a set of three (orthogonal) kets {|0 , |1 , |2 ...
Quantum Error. Correction: Andrew Landahl. David Gottesman. Dr. Wu. And others ... This is implementing a measurement (interpreting 0 as 1, and 1 as 1) Z1 ...
BB84 Quantum Key Distribution Alice chooses random bitstrings a and b each of length (4+ )n, Alice encodes each bit ai as {|0,|1} if bi=0 and as {|+,|-} if bi=1,
Noosa Blue, Australia, Jan 23, 2006. Collaborators: I. Affleck (UBC), E. Demler (Harvard), Z. C. Gu ... 1) Errors in different code words are distinguishable; ...
Part 2: Indirect interactions ... The ground state of all such systems can only have large amounts of correlation ... Adiabatic quantum computing. 1. 2. 3. 4. N ...
However, (3) Markov approximation is valid only in high ... Bang-bang control (Viola-Lloyd 1998) oscillator bath. Oscillator based. qubits. QBM Hamiltonian ...
K, L, Zurek (1996) threshold. Zalka (1996) simulation. Dennis et al. (2001) topological threshold ... only have nearest-neighbor gates, what error rate do we ...
1. Quantum Information Theory. Graduate Course Spring 2005 ... The Stabilizer Code Formalism (L7) The Stabilizer Group (L8) Constructing Quantum Codes (L8) ...
Entanglement properties of ground states... Provides a ... ( interacting electrons), Check the Post-Modern CT thesis for other known systems (field theory) ...