Accession Number:

ADA616685

Title:

Classifying the Quantum Phases of Matter

Descriptive Note:

Final rept. Jan 2012-Aug 2014

Corporate Author:

CALIFORNIA INST OF TECH PASADENA

Personal Author(s):

• Preskill, John P.

Report Date:

2015-01-01

Pagination or Media Count:

12.0

Abstract:

This is the final report for Classifying the Quantum Phases of Matter, FA8750-12-2-0308. Among other achievements, we made progress toward the following goals 1 finding a classification of locally definable quantum states those without symmetries or long - range entanglement, 2 elucidating the properties of three-dimensional quantum codes in particular those which admit no string - like logical operators. 3 characterizing symmetry-protected fermionic phases, 4 proving the stability of topological phases of matter with respect to generic perturbation.

Descriptors:

• *ALGEBRAIC TOPOLOGY
• *QUANTUM ELECTRONICS
• *SUPERCONDUCTORS
• FERMIONS
• HALL EFFECT
• HAMILTONIAN FUNCTIONS
• LOGIC CIRCUITS
• MARKOV PROCESSES
• MATHEMATICAL MODELS
• PERTURBATIONS
• QUANTUM COMPUTING
• QUANTUM INFORMATION SCIENCE
• STOCHASTIC PROCESSES
• TENSORS
• THREE DIMENSIONAL

Subject Categories:

• Nuclear Physics and Elementary Particle Physics
• Quantum Theory and Relativity
• Solid State Physics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE