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This study provides the first analytical solution for the ground state of a three-photon Kerr parametric oscillator, replacing computationally intensive numerical simulations with exact mathematical descriptions of a threefold degenerate manifold. By enabling active control over squeezing and inherent protection against phase-flip errors, this theoretical breakthrough establishes a viable pathway for encoding Kerr-cat qutrits to advance quantum information processing.

Source coveringQuantum Zeitgeist

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Three Distinct Quantum States Coexist Within a Single Oscillator System

Quantum ZeitgeistMay 23, 20266 min read

For the first time, an analytical solution describes the ground state of a three-photon driven oscillator, revealing a threefold degeneracy previously unseen in these systems. This allows for the creation of quantum superpositions exhibiting squeezing that can be actively controlled, enhanced, suppressed, or reversed, by altering the pump frequency. Understanding this behaviour opens a pathway to encoding a Kerr-cat qutrit, potentially advancing quantum information processing.

Researchers at PSI Centre for Photon Science, in collaboration with University of Basel, PSL Research University, Switzerland and Swiss Nanoscience Institute, have detailed a new quantum theory concerning a three-photon Kerr parametric oscillator and its potential for quantum information processing. Alessandro Bruno and colleagues present both analytical and approximate solutions for the ground state of this system, revealing a threefold degenerate manifold comprised of quantum superpositions of distinct states. The theory identifies a key method for encoding a Kerr-cat qutrit, offering inherent protection against phase-flip errors, and further elucidates control over squeezing via detuning between the oscillator and pump. Their analysis quantifies the stability of these superposition states and their resistance to external…

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