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From the 1 of 7 linked papers with an AI index.

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7 papers

math.NT2026

An intermediate conjecture between Goldbach and Dubner: every even number is the sum of a prime and a twin prime

Tushar Pandey

Call a prime a twin member if or is prime, and let denote the set of twin members. We study the statement (S): every even can be written as…

quant-ph2026

An architectural capacity ceiling, not a barren plateau: why a fixed-encoding variational quantum circuit cannot fit the Lorenz-63 attractor

Tushar Pandey

The paper shows that a fixed-encoding variational quantum circuit fails to model the chaotic Lorenz-63 system because its architecture imposes a capacity ceiling, not because of ba…

quant-ph2026

When Classical Baselines Are Tuned as Carefully as the Quantum Model, Does Quantum Reservoir Computing Still Win?

Tushar Pandey

Can a small quantum computer forecast a changing signal better than an ordinary classical method? Many studies say yes, but the classical methods they compare against are often lef…

quant-ph2026

A Quantum Reservoir Architecture for Chaotic Forecasting and a Test of Whether Its High Dimension Helps

Tushar Pandey

Quantum reservoir computing uses a fixed quantum circuit as a feature generator and trains only a simple linear readout on top of it. This makes it cheap to train and free of the o…

quant-ph2026

Quantum Kernels for Parity-Structured Classification: A Hybrid Pipeline

Tushar Pandey

Parity (XOR) classification requires detecting discrete, high-order feature interactions that smooth classical kernels cannot efficiently capture. We study how quantum kernel advan…

quant-ph2026

Fair Decoder Baselines and Rigorous Finite-Size Scaling for Bivariate Bicycle Codes on the Quantum Erasure Channel

Tushar Pandey

Fair threshold estimation for bivariate bicycle (BB) codes on the quantum erasure channel runs into two recurring problems: decoder-baseline unfairness and the conflation of finite…