Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Quantum State Preparation Representation Quantum Simulation Entanglement Theory Quantum Correlations

Constructing SU(2) x U(1) orbit space for qutrit mixed states

arXiv

Authors: Vladimir Gerdt, Arsen Khvedelidze, Yuri Palii

Year

2014

Paper ID

47862

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

The orbit space mathfrak{P}\(mathbb{R}⁸\)/G, of the group G:=SU(2)times U(1)subsetU(3) acting adjointly on the state space mathfrak{P}\(mathbb{R}⁸\) of a 3-level quantum system is discussed. The semi-algebraic structure of mathfrak{P}\(mathbb{R}⁸\) /G, is determined within the Procesi-Schwarz method. Using the integrity basis for the ring of G-invariant polynomials, mathbb{R}\[mathfrak{P}\(mathbb{R}⁸\)\]^G, the set of constraints on the Casimir invariants of U(3) group coming from the positivity requirement of Procesi-Schwarz gradient matrix, Grad(z)geqslant 0, is analyzed in details.

Why This Paper Matters

This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
It adds a 2014 reference point for readers tracking recent quantum research.
The orbit space mathfrakP(mathbbR^8)/G, of the group G:=SU(2)times U(1)subsetU(3) acting adjointly on the state space mathfrakP(mathbbR^8) of a 3-level quantum system is discussed.

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:1408.6697 [2] arXiv https://arxiv.org/abs/1408.6697 [3] Publisher https://arxiv.org/abs/1408.6697

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.