Bright-mode parity synthesis for bosonic state transfer through a single ancilla

• URL: http://arxiv.org/abs/2606.29624v1
• Date: Sun, 28 Jun 2026 22:13:24 GMT
• Title: Bright-mode parity synthesis for bosonic state transfer through a single ancilla
• Abstract summary: Bosonic modes provide hardware-efficient quantum memories and logical registers.<n> transferring finite-dimensional bosonic states through a restricted ancilla interface requires identifying which collective mode is actually controlled.<n>We show how transfer sensitivity is governed by photon-number support and residual bright-mode phase errors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Bosonic modes provide hardware-efficient quantum memories and logical registers, including highly non-Gaussian encoded states, but transferring finite-dimensional bosonic states through a restricted ancilla interface requires identifying which collective mode is actually controlled. We study a restricted setting in which two oscillators couple with opposite signs to a single two-level ancilla. In the normal-mode basis, the symmetric mode is dark, while transfer between the physical modes is equivalent to synthesizing parity on the antisymmetric bright mode. This reduction gives exact finite-sum transfer formulas for Fock states, Fock-state qubits, and finite Fock superpositions, and explains why resonant single-ancilla transfer is recurrence-limited beyond the single-photon sector. We then show that detuned Jaynes--Cummings evolution provides a native two-parameter route to high-fidelity finite-cutoff parity synthesis, with residual ancilla excitation, calibration sensitivity, and a minimal Markovian noise estimate quantified separately. Bosonic-code examples illustrate how transfer sensitivity is governed by photon-number support and residual bright-mode phase errors. The result provides a practical benchmark and organizing principle for constrained ancilla-mediated bosonic transfer when direct exchange is unavailable or undesirable.

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