4 papers · 1 filter
Coherent-State Integrals Beyond the Domain of Operator Products
Ghasem Asadi Cordshooli
Inserting a resolution of the identity between two operators turns a matrix element of their product into a phase-space integral. For unbounded operators the product need not exist…
Exact Fock Amplitudes of the Cubic-Phase Gate on Arbitrary Pure Gaussian States
Ghasem Asadi Cordshooli
The cubic phase gate is the only non-Gaussian element of universal continuous-variable quantum computation. Its Fock amplitudes are known in closed form only when the input is a Fo…
Coherent-State Kernels for Composite Quantum Operations
Ghasem Asadi Cordshooli
This paper develops a unified kernel-based method for computing exact matrix elements of composite quantum operations by inserting resolutions of the identity after individual oper…
The Resolution of the Identity as a Generator of Exact Integral Identities: A Coherent-State Approach
Ghasem Asadi Cordshooli, Mehdi Mirzaee
The resolution of the identity is typically utilized as a passive representation tool in standard quantum mechanics textbooks. In this paper, we reinterpret this traditional perspe…