Semantic Scholar Open Access 2016 78 sitasi

Computational Power of Symmetry-Protected Topological Phases.

David T. Stephen Dongsheng Wang A. Prakash T. Wei R. Raussendorf

Lihat Sumber DOI

Abstrak

We consider ground states of quantum spin chains with symmetry-protected topological (SPT) order as resources for measurement-based quantum computation (MBQC). We show that, for a wide range of SPT phases, the computational power of ground states is uniform throughout each phase. This computational power, defined as the Lie group of executable gates in MBQC, is determined by the same algebraic information that labels the SPT phase itself. We prove that these Lie groups always contain a full set of single-qubit gates, thereby affirming the long-standing conjecture that general SPT phases can serve as computationally useful phases of matter.

Topik & Kata Kunci

Physics Medicine

Penulis (5)

David T. Stephen

Dongsheng Wang

A. Prakash

T. Wei

R. Raussendorf

Format Sitasi

APA MLA BibTeX

Stephen, D.T., Wang, D., Prakash, A., Wei, T., Raussendorf, R. (2016). Computational Power of Symmetry-Protected Topological Phases.. https://doi.org/10.1103/PhysRevLett.119.010504

Akses Cepat

Lihat di Sumber doi.org/10.1103/PhysRevLett.119.010504

Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Total Sitasi: 78×
Sumber Database: Semantic Scholar
DOI: 10.1103/PhysRevLett.119.010504
Akses: Open Access ✓