Recognition: unknown
Cartan Decomposition of SU(2^n), Constructive Controllability of Spin systems and Universal Quantum Computing
read the original abstract
In this paper we provide an explicit parameterization of arbitrary unitary transformation acting on n qubits, in terms of one and two qubit quantum gates. The construction is based on successive Cartan decompositions of the semi-simple Lie group, SU(2^n). The decomposition highlights the geometric aspects of building an arbitrary unitary transformation out of quantum gates and makes explicit the choice of pulse sequences for the implementation of arbitrary unitary transformation on $n coupled spins. Finally we make observations on the optimality of the design procedure.
This paper has not been read by Pith yet.
Forward citations
Cited by 3 Pith papers
-
Surpassing thermal-state limit in thermometry via non-completely positive quantum encoding
General probe-environment correlations enable non-completely positive encodings that surpass the thermal-state bound in quantum thermometry precision.
-
On the KAK Decomposition and Equivalence Classes
For SU(4), local equivalence classes under SU(2)⊗SU(2) multiplication are not geometrically represented by the Weyl chamber; that chamber appears only under projective-local equivalence that ignores global phases.
-
Quantum simulation of massive Thirring and Gross--Neveu models for arbitrary number of flavors
Quantum simulation methods for Thirring and Gross-Neveu fermionic models with arbitrary flavors, including gate complexity bounds and ground-state preparation up to 20 qubits.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.