Journal Club Organization

Organization

Votes for Next Quarter

• Quantum Expanders and Randomized Constructions - 3 votes
• Hidden Subgroup Problem / Graph Isomorphism / Quantum State Generation - 3 votes
• Quantum Information Theory - 1 vote
• Algorithms - 1 vote
• Hamiltonian Simulation - 3 votes
• Quantum Lower Bounds - 2 votes

Possible Topics

Notes from Fall Quarter

• Quantum Information (Mark Wilde http://arxiv.org/abs/1106.1445)

  * Pro/Con: field has stabilized, stuck on solving additivity problem
  * Con: unrealistic models, not as applicable
  * Pro: Using asymptotic bounds on entropy can give classical algorithm for approximating separable states. (Brandao, Christandl, Yard)
  * Pro: connection to quantum error-correcting codes

• Self-Correcting Quantum Memories

 * Pro: hot/active research area right now, possibility of making contribution, not many people working on
   * Major breakthrough by Haah http://arxiv.org/abs/1101.1962
 * Pro: best way theory can help build a quantum computer
 * Pro: nice connections to statistical physics (topological order)

• Matt Hastings / Sergei Bravyi / Alexei Kitaev (Greatest Hits, Vol. 1)

  * Hastings: area laws, Lieb-Robinson bounds, additivity, classical algorithms for simulating quantum systems, hamiltonian complexity, self-correcting quantum memory, topological order
  * Bravyi: stoquastic hamiltonians, topological codes, Majorana fermions, stability results for topological order
  * Kitaev: awesome
  * Possibly invite for physics colloquium

• Oded Regev: quantum algorithms, communication complexity, lattice-based crypto
• Following one particular person:

  * Pro: can jump around various topics, get good breadth
  * Con: might not ever understand anything

• Hamiltonian Complexity

  * Pro: has great obscure acronyms, in the intersection of physics and CS (Lieb-Robinson, area laws, etc.), good guide / survey by Tobias Osborne (http://arxiv.org/abs/1106.5875)
  * Con: hard! (e.g. quantum PCP)

• Quantum Money / Knots
• Stephen Bartlett