REVIEW 1 cited by
On swapping the states of two qudits
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
The SWAP gate has become an integral feature of quantum circuit architectures and is designed to permute the states of two qubits through the use of the well-known controlled-NOT gate. We consider the question of whether a two-qudit quantum circuit composed entirely from instances of the generalised controlled-NOT gate can be constructed to permute the states of two qudits. Arguing via the signature of a permutation, we demonstrate the impossibility of such circuits for dimensions $d \equiv 3$ (mod 4).
Forward citations
Cited by 1 Pith paper
-
Decomposition of multi-qutrit gates generated by Weyl-Heisenberg strings
The authors introduce a decomposition of exponentials of Weyl-Heisenberg and Gell-Mann strings into single- and two-qutrit gates, apply it to qutrit QAOA for graph k-coloring, and generalize the Steiner-Gauss routing ...
Discussion (0). Continue with ORCID to comment.