Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication

Topics

Open Quantum Systems Decoherence

Qubits, Weyl spinors, quantum NOT gates, and dynamical decoupling

arXiv
Authors: R. Romero

Year

2014

Paper ID

46108

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

An equivalence is established between orthogonal pure state qubits on the Bloch sphere and massless Weyl spinors, when the Bloch vector is taken as the physical three-momentum. A family of unitary, coordinate dependent transformations is obtained which connects orthogonal combinations of the basis states of a two-level quantum system. It is shown that a subset of these transformations possesses the novel feature of effecting a point inversion by means of a rotation. For qubits, these transformations act as quantum NOT/parity gates, and also as flipping operators that exactly cancel decoherence in a dynamical decoupling setting. For Weyl spinors they provide, at the relativistic quantum level, a unitary symmetry transformation for the Weyl equations.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2014 reference point for readers tracking recent quantum research.
  • An equivalence is established between orthogonal pure state qubits on the Bloch sphere and massless Weyl spinors, when the Bloch vector is taken as the physical three-momentum.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in
Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

References & Citation Signals

[1] DOI https://doi.org/arXiv:1412.1158 [2] arXiv https://arxiv.org/abs/1412.1158 [3] Publisher https://arxiv.org/abs/1412.1158

Local Citation Graph (Related-Paper Links)

Current Paper #46108

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0
Likes: 0 Dislikes: 0

Sign in to react to this paper.

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.