RP000, a room-temperature CMOS photonic three-qubit processor, delivers higher or comparable accuracy to parameter-matched classical nets on ML classification and better noise tolerance than a superconducting processor.
Graded Paraparticle Algebra of Majorana Fields for Multidimensional Quantum Computing with Structured Light
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We present a theoretical framework that integrates Majorana's infinite-component relativistic equation within the algebraic structure of paraparticles through the minimal nontrivial $\mathbb{Z}_2 \times \mathbb{Z}_2$--graded Lie algebras and $R$-matrix quantization. By mapping spin-dependent mass spectra to graded sectors associated with generalized quantum statistics, we derive an equation embodying Majorana's mass-spin relation describing Majorana quasiparticles of structured light carrying spin and orbital angular momentum. These quanta in the $\mathbb{Z}_2 \times \mathbb{Z}_2$--graded algebras and $R$-matrix formulations extend the previous results from superconducting qubits to photonic platforms and set up deterministic 2-photon gates involving at least two qubits encoded in a single photon without nonlinear effects. This makes feasible general quantum computing pathways exploiting fractional statistics through Nelson's quantum mechanics and implement a novel procedure for error correction in photonic platforms. Furthermore, this approach makes possible to set paraparticle-based quantum information processing, beyond fermions and bosons, using graded qudits.
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A minimal Gedankenexperiment reduces the signature of Z2×Z2-graded permutation-group paraparticles to a chirality test that can be simulated with qudits.
citing papers explorer
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Design and Benchmarking of a Quantum Photonic Chip
RP000, a room-temperature CMOS photonic three-qubit processor, delivers higher or comparable accuracy to parameter-matched classical nets on ML classification and better noise tolerance than a superconducting processor.
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Signature of paraparticles: a minimal Gedankenexperiment
A minimal Gedankenexperiment reduces the signature of Z2×Z2-graded permutation-group paraparticles to a chirality test that can be simulated with qudits.