Sudhir R. Jain
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View article: Anonymous Quantum Tokens with Classical Verification
Anonymous Quantum Tokens with Classical Verification Open
The no-cloning theorem can be used as a basis for quantum money constructions which guarantee unconditionally unforgeable currency. Existing schemes, however, either (i) require long-term quantum memory and quantum communication between th…
View article: Efficient Quantum Hermite Transform
Efficient Quantum Hermite Transform Open
We present a new primitive for quantum algorithms that implements a discrete Hermite transform efficiently, in time that depends logarithmically in both the dimension and the inverse of the allowable error. This transform, which maps basis…
View article: PT-Symmetric SU(2) - like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations
PT-Symmetric SU(2) - like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations Open
View article: Consumable Data via Quantum Communication
Consumable Data via Quantum Communication Open
Classical data can be copied and re-used for computation, with adverse consequences economically and in terms of data privacy. Motivated by this, we formulate problems in one-way communication complexity where Alice holds some data x and B…
View article: Consumable Data Via Quantum Communication
Consumable Data Via Quantum Communication Open
View article: Controlling and engineering a quantum state in a multi-qubit system employing the quantum Zeno effect
Controlling and engineering a quantum state in a multi-qubit system employing the quantum Zeno effect Open
Controlling quantum jumps is crucial for reliable quantum computing. In this work, we demonstrate how the quantum Zeno effect can be applied to a two qubit system interacting with an ancilla which is a component of surface code architectur…
View article: Quantum Communication Advantage in TFNP
Quantum Communication Advantage in TFNP Open
We exhibit a total search problem with classically verifiable solutions whose communication complexity in the quantum SMP model is exponentially smaller than in the classical two-way randomized model. Our problem is a bipartite version of …
View article: Dynamical response and time correlation functions in random quantum systems
Dynamical response and time correlation functions in random quantum systems Open
Time-dependent response and correlation functions are studied in random quantum systems composed of infinitely many parts without mutual interaction and defined with statistically independent random matrices. The latter are taken within th…
View article: Quasi-integrability and nonlinear resonances in cold atoms under modulation
Quasi-integrability and nonlinear resonances in cold atoms under modulation Open
Quantum dynamics of a collection of atoms subjected to phase modulation has been carefully revisited. We present an exact analysis of the evolution of a two-level system (represented by a spinor) under the action of a time-dependent matrix…
View article: Universality in Ground State Masses of Nuclei
Universality in Ground State Masses of Nuclei Open
The beautiful and profound result that the first eigenvalue of Schroedinger operator can be interpreted as a large deviation of certain kind of Brownian motion leads to possible existence of universality in the distribution of ground state…
View article: Quasi-integrability and nonlinear resonances in cold atoms under modulation
Quasi-integrability and nonlinear resonances in cold atoms under modulation Open
Quantum dynamics of a collection of atoms subjected to phase modulation has been carefully revisited. We present an exact analysis of the evolution of a two-level system (represented by a spinor) under the action of a time-dependent matrix…
View article: Quantum thermodynamic cycles in the forward and time-reversed regimes
Quantum thermodynamic cycles in the forward and time-reversed regimes Open
A quantum engine with n qubits performing thermodynamic cycles with two thermal reservoirs is presented. While such constructions have been aplenty, here we show the existence of what we term as "limit cycle" at a purely quantum level of d…
View article: Quantum error correction beyond the toric code: dynamical systems meet encoding
Quantum error correction beyond the toric code: dynamical systems meet encoding Open
We construct surface codes corresponding to genus greater than one in the context of quantum error correction. The architecture is inspired by the topology of invariant integral surfaces of certain non-integrable classical billiards. Corre…
View article: Quantum Zeno effect: a qutrit controlled by a qubit
Quantum Zeno effect: a qutrit controlled by a qubit Open
For a three-level system monitored by an ancilla, we show that quantum Zeno effect can be employed to control quantum jump for error correction. Further, we show that we can realize cNOT gate, and effect dense coding and teleportation. We …
View article: Qubit control using quantum Zeno effect: Action principle approach
Qubit control using quantum Zeno effect: Action principle approach Open
View article: A Genus-two Surface Code
A Genus-two Surface Code Open
We construct a double-toric surface code by exploiting the planar tessellation using a rhombus-shaped tile. With n data qubits, we are able to encode at least n/3 logical qubits or quantum memories. By a suitable arrangement of the tiles, …
View article: Qubit Control Using Quantum Zeno Effect: Action Principle Approach
Qubit Control Using Quantum Zeno Effect: Action Principle Approach Open
View article: The tunable 0−π qubit: Dynamics and relaxation
The tunable 0−π qubit: Dynamics and relaxation Open
In this paper, we present a systematic treatment of a [Formula: see text] qubit in the presence of a time-dependent external flux. A gauge-invariant Lagrangian and the corresponding Hamiltonian are obtained. The effect of the flux noise on…
View article: Предельное распределение числа нодальных областей для бильярда в форме прямоугольного равнобедренного треугольника
Предельное распределение числа нодальных областей для бильярда в форме прямоугольного равнобедренного треугольника Open
Представлена функция вероятностного распределения числа областей постоянного знака для собственных функций бильярда в форме прямоугольного равнобедренного треугольника. Это первый явный результат для несепарабельного плоского многоугольног…
View article: Protection of qubits by nonlinear resonances
Protection of qubits by nonlinear resonances Open
We show that quantized superconducting circuits are non-integrable at the classical level of description, adorned by nonlinear resonances amidst stochastic sea. The spectral fluctuations of these quasi-integrable systems exhibit intermedia…
View article: Neutrino spin-flavor oscillations in solar environment
Neutrino spin-flavor oscillations in solar environment Open
We study the phenomenon of neutrino spin-flavor oscillations due to solar magnetic fields. This allows us to examine how significantly the electron neutrinos produced in the solar interior undergo a resonant spin-flavor conversion. We cons…
View article: Non-adiabatic transitions and non-equilibrium statistics of deforming nuclei
Non-adiabatic transitions and non-equilibrium statistics of deforming nuclei Open
We establish a connection between macroscopic "heating or cooling" of a finite many-body quantum system and the non-adiabatic Landau-Zener-Stückelberg transitions between its quantum states. We have considered the well-known Nilsson model …
View article: Semiclassical triton
Semiclassical triton Open
View article: Nodal portraits of quantum billiards: Domains, lines, and statistics
Nodal portraits of quantum billiards: Domains, lines, and statistics Open
We present a comprehensive review of the nodal domains and lines of quantum billiards, emphasizing a quantitative comparison of theoretical findings to experiments. The nodal statistics are shown to distinguish not only between regular and…
View article: Noncyclic geometric phases and helicity transitions for neutrino oscillations in a magnetic field
Noncyclic geometric phases and helicity transitions for neutrino oscillations in a magnetic field Open
We show that neutrino spin and spin-flavor transitions involve nonvanishing\ngeometric phases. The geometric character of neutrino spin rotation is explored\nby studying the neutrino spin trajectory in the projective Hilbert space\nreprese…
View article: Truncated Calogero–Sutherland models on a circle
Truncated Calogero–Sutherland models on a circle Open
View article: Geometric phase for neutrino propagation in magnetic field
Geometric phase for neutrino propagation in magnetic field Open
View article: A finite-time exponent for random Ehrenfest gas
A finite-time exponent for random Ehrenfest gas Open