Journal Club Spring 2011
From Quantum Computing Theory Group
Journal Club Spring 2011
This quarter we will be focusing on Quantum Error Correction.
Past journal club pages: Autumn 2010, Winter 2011
Contents
People
Organizer(1): Kamil Michnicki (kpm3@u.washington.edu)
Organizer(2): Lukas Svec (svecl@u.washington.edu)
Faculty Advisor: Dave Bacon (dabacon@cs.washington.edu)
Place
Thursday 12:00 in Computer Science, CSE 503.
Organization
- Topic Chosen
- Quantum Error Correction
- Main ideas
Schedule
Subject | Speaker | Date | Reference |
---|---|---|---|
Operator QEC Subsystems for Self-Correcting Quantum Memories | Paul and Punya | April 12th & 19th | quant-ph/0506023 |
Papers
Currently this list is limited to classic/historical texts but will be expanded soon.
- 5-qubit and 9-qubit code
- P. Shor, ``Scheme for reducing decoherence in quantum memory 1995
- A. Steane, ``Error correcting codes in quantum memory” 1996
- Steane code
- Steane, ``Multiple particle interference and quantum error correction, quant-ph/9601029.
- Early important QECC papers
- Laflamme, Miquel, Paz, Zurek; “Perfect quantum error correction code” quant-ph/9602019
- Bennett, DiVincenzo, Smolin, Wooters; “Mixed State entanglement and quantum error correction” quant-ph/9604024
- This paper connects QECCs and the idea of entanglement distillation (which it also introduced). It's worth reading despite its length.
- Knill, Laflamme “A theory of quantum error-correcting codes” 1997 quant-ph/9604034
- Stabilizer codes
- Gottesman; “A class of quantum error correcting codes saturating the quantum Hamming bound” quant-ph/9604038
- Gottesman, ``Stabilizer codes and quantum error correction, quant-ph/9705052.
- Topological codes
- Kitaev, “Fault-tolerant quantum computation by anyons” 1997 quant-ph/9707021
- Fault-tolerance threshold
- Ahronov and Ben-Or “Fault tolerant computation with constant error rate” quant-ph/9906129
- Kitaev “Quantum Error correction with imperfect gates” 1997
- Knill, Laflamme, Zurek “Resilient quantum computation” 1998 quant-ph/9702058
- Decoherence free subspaces/subsystems
- Lidar, Bacon, Kempe, Whaley; Theory of Decoherence-Free Fault-Tolerant Universal Quantum Computation, arXiv:quant-ph/0004064
- Bacon, “Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories” arXiv:quant-ph/0506023 2005
- Concatenated Code Hamiltonians
- Bacon, “The Stability of Quantum Concatenated Code Hamiltonians” arXiv:0806.2160 2008
- Subsystem codes
- Bacon, "Operator Quantum Error Correcting Subsystems for Self-Correcting Quantum Memories", quant-ph/0506023
- Introduced the Bacon-Shor code, among other things.
- Kribs, et al. "Operator quantum error correction", quant-ph/0504189