1 citations · 1 across the 15 of their papers we have counts for
16 papers
Lifted surgery for non-Abelian two-block group-algebra codes
Tushar Pandey
Code surgery measures a logical operator of a quantum LDPC code with rounds of syndrome extraction. Lifted surgery amortises this cost on Abelian group-algebra codes by meas…
An intermediate conjecture between Goldbach and Dubner: every even number is the sum of a prime and a twin prime
Tushar Pandey
We study the statement that every even number is the sum of a prime and a member of a twin prime pair. It sits between the conjectures of Goldbach and Dubner and implies…
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…
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…
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…
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…
An architectural capacity ceiling, not a barren plateau: why a fixed-encoding variational quantum circuit cannot fit the Lorenz-63 attractor
Tushar Pandey
Variational quantum circuits train poorly on chaotic forecasting, usually blamed on barren plateaus (exponentially vanishing gradients). Using an exactly simulable four-qubit varia…
Adaptive Graph of Thoughts: Test-Time Adaptive Reasoning Unifying Chain, Tree, and Graph Structures
Tushar Pandey, Ara Ghukasyan, Oktay Goktas +1
Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, yet their performance is highly dependent on the prompting strategy and model scale. While reinfor…
Efficient variational quantum eigensolver methodologies on quantum processors
Tushar Pandey, Jason Saroni, Abdullah Kazi +1
We compare the performance of different methodologies for finding the ground state of the molecule BeH2. We implement adaptive, tetris-adaptive variational quantum eigensolver (VQE…
Generalized Bonahon-Wong-Yang volume conjecture of quantum invariants of surface diffeomorphisms I: the figure eight knot complement
Tushar Pandey, Ka Ho Wong
We propose a generalization of the Bonahon-Wong-Yang volume conjecture of quantum invariants of surface diffeomorphisms, by relating the asymptotics of the invariants with certain…
The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere
Tushar Pandey
We compute the Bonahon-Wong-Yang quantum invariant for self-diffeomorphisms of the four-puncture sphere explicitly, based on the representation theory of the Checkov-Fock algebra.…
Geometry of fundamental shadow link complements and applications to the 1-loop conjecture
Tushar Pandey, Ka Ho Wong
We construct a geometric ideal triangulation for every fundamental shadow link complement and solve the gluing equation explicitly in terms of the logarithmic holonomies of the mer…
Topological Understanding of Neural Networks, a survey
Tushar Pandey
We look at the internal structure of neural networks which is usually treated as a black box. The easiest and the most comprehensible thing to do is to look at a binary classificat…
Topological Characterization with a Twist, Condensation, and Reflection
Tushar Pandey, Eugene Dumitrescu
Despite its putative robustness, the realization of and control over topological quantum matter is an ongoing grand challenge. Looking forward, robust characterization protocols ar…
Topological phases of matter, Quantum Error Correction and Topological twist
Tushar Pandey
Unitary Modular Tensor Categories(UMTC) have a one-to-one correspondence with Topological Quantum Field Theories (TQFT). Different identifications have been made so far associating…
On the asymptotic expansion for the relative Reshetikhin-Turaev invariants of fundamental shadow link pairs
Tushar Pandey, Ka Ho Wong
We study the asymptotic expansion conjecture of the relative Reshetikhin-Turaev invariants proposed in \cite{WY4} for all pairs satisfying the property that …