Minimum and maximum quantum uncertainty states for qubit systems

Author:

Li Huihui,Luo ShunlongORCID,Zhang YueORCID

Abstract

Abstract We introduce the notion of (renormalized) quantum uncertainty and reveal its basic features. In terms of this quantity, we completely characterize the minimum and maximum quantum uncertainty states for qubit systems involving Pauli matrices. It turns out that the minimum quantum uncertainty states consist of both certain pure states and certain mixed states, in sharp contrast to the case of conventional Heisenberg uncertainty relation. The maximum quantum uncertainty states are H-type magic states arising from the stabilizer formalism of quantum computation, and can be obtained from minimum quantum uncertainty states via the T-gate.

Funder

Youth Innovation Promotion Association of CAS, Grant

Key R&D Program of China

Publisher

IOP Publishing

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