5 papers · 1 filter
Comprehensive proof of the Greenberger-Horne-Zeilinger Theorem for the four-qubit system
Li Tang, Jie Zhong, Yaofeng Ren +2
Greenberger-Horne-Zeilinger (GHZ) theorem asserts that there is a set of mutually commuting nonlocal observables with a common eigenstate on which those observables assume values t…
Maximal violation of the Ardehali's inequality of qubits
Zeqian Chen
In this paper, we characterize the maximal violation of Ardehali's inequality of qubits by showing that GHZ's states and the states obtained from them by local unitary transfor…
Maximal violation of Mermin's inequalities
Zeqian Chen
In this paper, it is proved that the maximal violation of Mermin's inequalities of qubits occurs only for GHZ's states and the states obtained from them by local unitary transf…
A Non-commutative Version of the Fundamental Theorem of Asset Pricing
Zeqian Chen
In this note, a non-commutative analogue of the fundamental theorem of asset pricing in mathematical finance is proved.
Quantum Finance: The Finite Dimensional Case
Zeqian Chen
In this paper, we present a quantum version of some portions of Mathematical Finance, including theory of arbitrage, asset pricing, and optional decomposition in financial markets…