Four-Tool Multimode Spin-Wave Quantum Memory

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We investigate a non-superconducting Gaussian–T3–solid-torus–Möbius photonic spin-wave quantum- memory architecture. Retaining the exact R01 finite-bandwidth Gaussian passive-capture and crosstalk results, we additionally construct an explicit lossless one-photon write–store–read resonance protocol. For three equal couplers separated by 2π/3 and a half-integer Möbius optical holonomy, phases (0, π/3, 2π/3) couple the targeted longitudinal mode with amplitude 3g while exactly annihilating modes not congruent to the target modulo three. On its invariant one-excitation sector, exact two-photon resonance and area 3 R g dt = π/2 provide unit-probability coherent optical–spin conversion. We derive zero-reflection capture of a rising exponential photon, and a time-dependent Gaussian capture–read pair κw = |fG|2/F, κr = |fG|2/(1 −F). Both have precisely unit survival in the infinite-tail, lossless idealization. For finite Gaussian half-window Aτ, the exact, strictly subunit round-trip probability is [(1 −2qA)/(1 −qA)]2, qA = 12 erfc(A). We further prove a tight cavity-loss ceiling ηcycle ≤[K/(K + κi)]2e−2γsTs for a bounded- port sequential protocol. At A = 4, τ = 11 ns the lossless cycle is 99.999998458%, whereas inserting the prior illustrative irreversible 10 MHz loss produces only 6.6878% write probability for the same Gaussian-control trajectory. These are fully specified model calculations, not demonstrated apparatus efficiencies or a universal zero-loss method. QM-R03 independently verifies the previous 180.83912068 Hz optical-loss threshold, and then eliminates that architecture-specific optical-resonator requirement via an explicit cavity-free waveguide-to-spin one-port model. At a stipulated guided interface rate and very low unguided loss, a finite-time single-photon … [excerpt; full PDF linked below]

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