Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Phase context decomposition of diagonal unitaries for higher-dimensional systems

arXiv
Authors: Kerstin Beer, Friederike Anna Dziemba

Year

2015

Paper ID

26070

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We generalize an efficient decomposition method for diagonal operators by Welch et al. to qudit systems. The phase-context aware method focusses on cascaded entanglers whose decomposition into multi-controlled INC-gates can be optimized by the choice of a proper signed base-d representation for the natural numbers. While the gate count of the best known decomposition method for general diagonal operators on qubit systems scales with mathcal{O}\(2n\), the circuits synthesized by the Welch algorithm for diagonal operators with k distinct phases are upper-bounded by mathcal{O}\(n2k\), which is generalized to mathcal{O}\(dn2k\) for the qudit case in this paper.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2015 reference point for readers tracking recent quantum research.
  • We generalize an efficient decomposition method for diagonal operators by Welch et al.

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:1511.05758 [2] arXiv https://arxiv.org/abs/1511.05758 [3] Publisher https://arxiv.org/abs/1511.05758

Local Citation Graph (Related-Paper Links)

Current Paper #26070 #69593 Local correlations in long-rang... #69591 Compact graphs and quantum auto... #69577 Real-time pseudo entropy and mo... #69569 Spin disorder competing with po...

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.