Efficient generation of $N$-photon generalized binomial states in a cavity
Rosario Lo Franco, Giuseppe Compagno, Antonino Messina, and Anna, Napoli

TL;DR
This paper proposes an efficient method to generate N-photon generalized binomial states in a high-Q cavity, enabling advanced quantum computation and exploring fundamental quantum-classical boundaries.
Contribution
It introduces a high-fidelity scheme for creating N-photon states with N>2 in a single-mode cavity, extending previous two-photon generation results.
Findings
High-fidelity N-photon state generation scheme proposed
Application in universal quantum computation demonstrated
Feasibility within current experimental capabilities analyzed
Abstract
Extending a previous result on the generation of two-photon generalized binomial field states, here we propose an efficient scheme to generate with high-fidelity, in a single-mode high-Q cavity, N-photon generalized binomial states with a maximum number of photons N>2. Besides their interest for classical-quantum border investigations, we discuss the applicative usage of these states in realizing universal quantum computation, describing in particular a scheme that performs a controlled-NOT gate by dispersive interaction with a control atom. We finally analyze the feasibility of the proposed schemes, showing that they appear to be within the current experimental capabilities.
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