Quantum k-uniform states for heterogeneous systems from irredundant
mixed orthogonal arrays
- URL: http://arxiv.org/abs/2104.14745v1
- Date: Fri, 30 Apr 2021 03:41:01 GMT
- Title: Quantum k-uniform states for heterogeneous systems from irredundant
mixed orthogonal arrays
- Authors: Shanqi Pang, Xiao Zhang, Shao-Ming Fei, Zhu-Jun Zheng
- Abstract summary: Quantum multipartite entangled states play significant roles in quantum information processing.
We construct a series of infinite classes of irredundant mixed orthogonal arrays (IrMOAs)
We prove the existence of $k$-uniform states in heterogeneous quantum systems.
- Score: 4.2097541149243956
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum multipartite entangled states play significant roles in quantum
information processing. By using difference schemes and orthogonal partitions,
we construct a series of infinite classes of irredundant mixed orthogonal
arrays (IrMOAs) and thus provide positive answers to two open problems. The
first is the extension of the method for constructing homogeneous systems from
orthogonal arrays (OAs) to heterogeneous multipartite systems with different
individual levels. The second is the existence of $k$-uniform states in
heterogeneous quantum systems. We present explicit constructions of two and
three-uniform states for arbitrary heterogeneous multipartite systems with
coprime individual levels, and characterize the entangled states in
heterogeneous systems consisting of subsystems with nonprime power dimensions
as well. Moreover, we obtain infinite classes of $k$-uniform states for
heterogeneous multipartite systems for any $k\geq2$. The non-existence of a
class of IrMOAs is also proved.
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