Possible Theoretical Topics and Papers

Decoherence + Open Systems

• Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
  • Wojciech H. Zurek
  • http://prd.aps.org/abstract/PRD/v24/i6/p1516_1

• Environment-induced superselection rules
  • Wojciech H. Zurek
  • http://prd.aps.org/abstract/PRD/v26/i8/p1862_1

• Decoherence, einselection, and the quantum origins of the classical
  • Wojciech H. Zurek
  • http://arxiv.org/abs/quant-ph/0105127

• Coherent states via decoherence
  • Wojciech H. Zurek, Salman Habib, and Juan Pablo Paz
  • http://prl.aps.org/abstract/PRL/v70/i9/p1187_1

• Electron Spin Decoherence in Quantum Dots due to Interaction with Nuclei
  • Alexander V. Khaetskii, Daniel Loss, and Leonid Glazman
  • http://prl.aps.org/abstract/PRL/v88/i18/e186802

• Importance of quantum decoherence in brain processes
  • Max Tegmark
  • http://pre.aps.org/abstract/PRE/v61/i4/p4194_1

• Observing the Progressive Decoherence of the “Meter” in a Quantum Measurement
  • M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche
  • http://prl.aps.org/abstract/PRL/v77/i24/p4887_1

Algorithms

• Rapid Solution of Problems by Quantum Computation
  • David Deutsch and Richard Jozsa
  • http://www.jstor.org/stable/52182

• Quantum complexity theory (Bernstein-Vazirani algorithm)
  • Ethan Bernstein and Umesh Vazirani
  • http://www.eecs.berkeley.edu/~vazirani/pubs/bv.ps

• On the Power of Quantum Computation (Simon's algorithm)
  • Dan Simon
  • http://portal.acm.org/citation.cfm?id=264405

• Quantum Algorithms Revisted
  • Richard Cleve, Artur Ekert, Chiara Macchiavello, Michele Mosca
  • http://arxiv.org/abs/quant-ph/9708016

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
  • http://arxiv.org/abs/quant-ph/9508027v2
  • Peter Shor

• "Shor, I’ll do it" blog post
  • Scott Aaronson
  • http://scottaaronson.com/blog/?p=208

• Quantum measurements and the Abelian Stabilizer Problem
  • A. Kitaev
  • http://arxiv.org/abs/quant-ph/9511026

• A fast quantum mechanical algorithm for database search (Grover's algorithm)
  • Lov Grover
  • http://arxiv.org/abs/quant-ph/9605043

• Quantum Amplitude Amplification and Estimation
  • Gilles Brassard, Peter Hoyer, Michele Mosca, Alain Tapp
  • http://arxiv.org/abs/quant-ph/0005055

• Quantum Computation by Adiabatic Evolution
  • Edward Farhi, Jeffrey Goldstone, Sam Gutmann, Michael Sipser
  • http://arxiv.org/abs/quant-ph/0001106

• A Numerical Study of the Performance of a Quantum Adiabatic Evolution Algorithm for Satisfiability
  • Edward Farhi, Jeffrey Goldstone, Sam Gutmann
  • http://arxiv.org/abs/quant-ph/0007071

• Exponential algorithmic speedup by quantum walk
  • Andrew M. Childs, Richard Cleve, Enrico Deotto, Edward Farhi, Sam Gutmann, Daniel A. Spielman
  • http://arxiv.org/abs/quant-ph/0209131

• A Quantum Algorithm for the Hamiltonian NAND Tree
  • E. Farhi, J. Goldstone, S. Gutmann
  • http://arxiv.org/abs/quant-ph/0702144

• Quantum algorithm for solving linear systems of equations
  • Aram W. Harrow, Avinatan Hassidim, Seth Lloyd
  • http://arxiv.org/abs/0811.3171

Measurement Based Quantum Computing

• Quantum computing via measurements only
  • Robert Raussendorf, Hans J. Briegel
  • http://arxiv.org/abs/quant-ph/0010033

• Persistent entanglement in arrays of interacting particles
  • Hans J. Briegel, Robert Raussendorf
  • http://arxiv.org/abs/quant-ph/0004051

• Computational model underlying the one-way quantum computer
  • Robert Raussendorf, Hans Briegel
  • http://arxiv.org/abs/quant-ph/0108067

• Fault-tolerant quantum computation with cluster states
  • Authors: Michael A. Nielsen, Christopher M. Dawson
  • http://arxiv.org/abs/quant-ph/0405134

• A fault-tolerant one-way quantum computer
  • R. Raussendorf, J. Harrington, K. Goyal
  • http://arxiv.org/abs/quant-ph/0510135

• Topological fault-tolerance in cluster state quantum computation
  • Robert Raussendorf, Jim Harrington, Kovid Goyal
  • http://arxiv.org/abs/quant-ph/0703143

• Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state
  • Michael A. Nielsen
  • http://arxiv.org/abs/quant-ph/0108020

• Unified derivations of measurement-based schemes for quantum computation
  • Andrew M. Childs, Debbie W. Leung, Michael A. Nielsen
  • http://arxiv.org/abs/quant-ph/0404132

• Computation by measurements: a unifying picture
  • Authors: Panos Aliferis, Debbie W. Leung
  • http://arxiv.org/abs/quant-ph/0404082