Exploiting entangled states in condensed matter for quantum computation: the use of Affleck-Kennedy-Lieb-Tasaki states as computational resources
* SPEAKERS
Name
Affiliation
E-mail
Dr. Tzu-Chieh Wei
Univ. of British Columbia, Canada
* HOST(Applicant)
Name
Affiliation
E-mail
-
* DATE / TIME
2010-11-24, 10:00am
* PLACE
512 Seminar Room, APCTP Headquarters, Pohang
* ABSTRACT
Quantum computation promises exponential speedup over classical computation by exploiting the quantum mechanical nature of physical processes. Surprisingly, universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state. Resource states can arise from ground states of carefully designed two-body interacting Hamiltonians. This opens up an appealing possibility of creating them by cooling. The family of Affleck-Kennedy-Lieb-Tasaki (AKLT) states, originally constructed in the context of condensed matter, are the ground states of particularly simple Hamiltonians with high symmetry, and their potential use in quantum computation gives rise to a new research direction. However, the states in the AKLT family have so far been only known to perform restricted computation, and it is not clear whether any of them can be used to achieve computation universality. We show that the two dimensional AKLT state on a honeycomb lattice is a universal resource for measurement-based quantum computation. As entanglement is a crucial resource, if time allows, we shall also discuss how to quantify entanglement present in various spin systems, including AKLT states as well as possible experimental implementation.
