Rishabh Gupta Email & Phone Number

Toronto, Ontario, Canada

Raleigh, North Carolina, United States

United States

• Quantum State Tomography (QST) based on Max Entropy: Proposed and developed an alternative approach to QST, employing the formalism of maximal entropy (MaxEnt), for reconstruction of high-fidelity quantum states and validating on IBM Qiskit.• Variational approach to QST based on MaxEnt: Employed a hybrid quantum-classical variational algorithm and hardware efficient ansatz to prepare the least biased mixed quantum state, consistent with the given set of constraints, easily implementable on a near-term NISQ quantum device.• Imaging molecular dynamics with Quantum Tomography: Formulated measurement operators for time-resolved quantum tomography to capture electronic and vibrational dynamics of excited ammonia molecule in the lab frame. Utilized the MaxEnt Approach, to reconstruct the density matrix, enabling visualization of time-evolving charge density and molecular axis distribution.• Hamiltonian Learning from time dynamics: Devised a general variational optimization algorithm to reconstruct the Hamiltonian of a system in the Pauli basis using time series dataset of correlation function observables.• Entropy-Corrected Geometric Brownian Motion: Introduced a novel approach, Entropy-Corrected Geometric Brownian Motion, integrating principles from information theory and entropy to tackle non-normal behavior in probability distributions. This innovative method has broad applicability across Finance fields reliant on GBM methodologies such as VaR estimation, option pricing, etc.• Quantum Machine Learning for Chemistry and Physics: Contributed significantly to the review article published in the high impact journal: Chem. Soc. Rev.• Quantum simulation of resonating valence bond states: Employed robust classical numerical techniques like DMRG to identify the nature of spin-liquid ground state of Kagome unit cells through a matrix‑product state (MPS) formulation.

Boston, Massachusetts, United States

• Devised an innovative algorithm to create low-risk portfolios comprising n-stocks from the S&P500 index.• The algorithm analyzed the covariance matrix of n-stock portfolios, enabling accurate prediction of portfolio volatility for the upcoming year and providing robust risk assessments for users.• Successfully adapted the algorithm to construct low-risk crypto portfolios, enhancing the ability to define precise entry and exit points for short-term trading strategies. • Collaborated with the team to integrate the newly devised algorithm into an internally developed back-testing platform, ensuring its seamless incorporation for evaluating portfolio performance and risk management.

Delhi, India

Forex/Commodity markets:• Engineered an algorithmic trading bot utilizing regression and classification Machine Learning models as well as adopted concepts from supervised similarity model into training the bot. • Managing portfolios of 60+ clients with a combined investment of over $350,000, yielding an impressive average annual return of 40% based on the developed software.• Orchestrated a team of 5 people towards the implementation of the trading bot across all user accounts¬. Equity/Options markets:• Conducted market entropy analysis to predict market volatility shifts during significant events (e.g., Covid-19, Russia-Ukraine war, etc.) and economic occurrences like interest rate changes, pre-emptively.• Introduced an innovative approach centered on mean-reversal of market volatility, utilizing variance variation in individual assets for strategic option trading.

Boston, Massachusetts, United States

•Conducted an in-depth analysis of diverse quantum algorithms, assessing their speedup potential across a range of magnitudes (quadratic to exponential), while also accounting for associated error-correction overhead.•The project helped in the understanding of the type of algorithms the industry should be focusing on to achieve practical quantum advantage for business applications in the near-term.

Mohali, Punjab, India

-Implemented (t,t') method for solving TDSE within Kramers-Henneberger frame of reference.-Worked on laser-molecule interactions involving wave-packet propagation on a model PES.

Winnipeg, Manitoba, Canada

-Developed an orbital optimization algorithm to effectively capture static correlation in Natural Orbital Functional theory.

Hyderabad, Telangana, India

-Implemented Fourier Grid Hamiltonian and 2D DVR methods to solve a model 2D problem-The Henon-Heiles potential.-Developed O(N)-memory algorithm for evaluating TISE for a 2D Hamiltonian.

Mumbai, Maharashtra, India

-Performed ab initio quantum chemical calculations for theoretical prediction of a new series of noble gas hydrides, HNgCCO+.

Doctor Of Philosophy - Phd, Quantum Information And Quantum Computation

Bs-Ms, Theoretical Chemistry