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Bhavesh Gupta

Contact Details

To know more about me. You can download my CV here. To contact me, visit the contact page.

About

Hi, I am Bhavesh. Again, welcome to my website.

I am a PhD scholar in the Department of Physics at the Indian Institute of Technology Madras. I work in the field of Quantum Information and Computation under the supervision of Dr. Prabha Mandayam. My current research interest aims at the Noise Model, Decoherence Mechanism, Quantum Error Correction/Prevention/Suppression/Mitigation and Quantum Fault Tolerance in the Noisy intermediate-scale quantum (NISQ) era.

In addition to my research endeavors, I actively engage in athletic pursuits such as swimming and tennis. Furthermore, I demonstrate a keen interest in the study of the equity market, consistently seeking to expand my understanding of financial dynamics and market trends.

Motivation for pursuing a Ph.D. in Quantum Information and Computing

I came across quantum mechanics and quantum statistical mechanics as one of my core courses and advanced quantum mechanics and quantum field theory as my professional electives during my undergrad and postgrad. Thus, I got exposure to some problems and research in quantum information and computing. The most promising application that attracted me was in Computational Chemistry to provide immense power to the machine to successfully map the molecules, which, in turn, potentially opens opportunities for pharmaceutical research like drug design & development. With the help of artificial intelligence & machine learning, Quantum computing can help develop various techniques to combat cybersecurity threats. I found problems related to decoherence/noise affecting qubits most interesting. However, as the number of applications increased, it became challenging for traditional computers to match the accuracy and speed.

Decoherence is a concept in quantum mechanics that refers to the process by which a quantum system loses coherence and becomes more classical or, in other words, more like a classical probability distribution. When a quantum system interacts with its environment, the entanglement between the system and its surroundings can lead to decoherence. The environment effectively monitors the quantum system, causing it to lose its delicate quantum superposition and become entangled with the environment instead. This results in the emergence of classical behaviour and a loss of distinct quantum features. Understanding and controlling decoherence is essential for developing quantum technologies, such as quantum computing and quantum information processing, where maintaining quantum coherence is necessary for the proper functioning of quantum algorithms and protocols.

Moreover, quantum computing can help in processing complex problems in significantly less time with quality, even though all my past work experience was in gravity. Now I want to work more on technological-driven problems. Lastly, I did not had any professors and projects in my undergrad and postgrad institute related to quantum information and computing. Honestly, I did not enjoy gravity as much as quantum computing. Thus I ended up interested in learning Quantum Information and Computing. My broad research interests are Quantum Error correction and Quantum cryptography as a tool to explore nature's most beautiful and elegant structures.

Quantum Error Correction and Mitigation

Quantum computers leverage the principles of quantum mechanics, such as interference, superposition (Bloch sphere), and entanglement, to perform certain types of calculations much faster than classical computers. These properties allow them to process a large number of possibilities simultaneously (Quantum parallelism).

Entanglement is a state where the state of one qubit is directly related to the state of another, even if they are physically separated. Changes to one qubit instantaneously affect the other, providing a form of correlation that can be exploited for computation, like the Control-NOT gate.

Quantum Gates are used to perform operations on qubits. They manipulate the quantum states of qubits and can perform complex operations more efficiently than classical logic gates.

Quantum Error Correction and Mitigation are two distinct approaches to address the challenges posed by errors in quantum computers.

Quantum Error Correction :

Purpose:
  • Objective: Aims to protect quantum information from errors induced by quantum decoherence, environmental noise, gate and measurement imperfections.
  • Concept: Involves encoding quantum information in a way that errors can be detected and corrected without corrupting the information.
KeyComponents:
  • Encoding: Information space to subspace of larger physical Hilbert space - Coding introduces redundancy.
  • NoiseChannel: Noise process
  • SyndromeExtraction: Detection
  • RecoveryChannel: Correction based on syndrome
  • Decoding: Back to information space
Challenges:
  • Overhead: Resources required to protect, like 3-qubit code.
  • FaultTolerance: Essential for large-scale practical computers when error rates are below a certain threshold.

Quantum Error Mitigation :

Purpose:
  • Objective: Aims to protect quantum information from errors induced by quantum decoherence, environmental noise, gate and measurement imperfections.
  • Concept: Involves encoding quantum information in a way that errors can be detected and corrected without corrupting the information.
KeyComponents:
  • Encoding: Information space to subspace of larger physical Hilbert space - Coding introduces redundancy.
  • NoiseChannel: Noise process
  • SyndromeExtraction: Detection
  • RecoveryChannel: Correction based on syndrome
  • Decoding: Back to information space
Challenges:
  • Overhead: Resources required to protect, like 3-qubit code.
  • FaultTolerance: Essential for large-scale practical computers when error rates are below a certain threshold.

Error Suppression :

Purpose:
  • Objective: Aims to protect quantum information from errors induced by quantum decoherence, environmental noise, gate and measurement imperfections.
  • Concept: Involves encoding quantum information in a way that errors can be detected and corrected without corrupting the information.
KeyComponents:
  • Encoding: Information space to subspace of larger physical Hilbert space - Coding introduces redundancy.
  • NoiseChannel: Noise process
  • SyndromeExtraction: Detection
  • RecoveryChannel: Correction based on syndrome
  • Decoding: Back to information space
Challenges:
  • Overhead: Resources required to protect, like 3-qubit code.
  • FaultTolerance: Essential for large-scale practical computers when error rates are below a certain threshold.

Quantum Noise Channel: Understanding how quantum information is transmitted, manipulated, and affected by various sources of noise and imperfections in quantum systems. It is a mathematical description of how quantum systems evolve and interact with their surroundings. Mathematically, a quantum channel is described by a completely positive and trace-preserving (CPTP) map. A CPTP map ensures that the quantum channel is physically meaningful and preserves the probabilities, ensuring the total probability of all possible outcomes remains 1.

Education

  • Ph.D. (Ongoing) - Indian Institute of Technology Madras, Chennai, India.
  • M.Sc. (2022) - National Institute of Technology Rourkela, Odisha, India.
  • B.Sc. (2017) - National Institute of Technology Rourkela, Odisha, India.

Academic Achievement

  • Prime Minister’s Research Fellowship - 2022
  • AIR 52 in Joint Entrance Screening Test (JEST) - 2022
  • AIR 92 (JRF) in Joint CSIR-UGC National Eligibility Test (NET) in Physics- 2022
  • AIR 10507 in Joint Entrance Exam Advanced (JEE - Advanced) - 2017
  • AIR 13705 in Joint Entrance Exam Mains (JEE - Mains) - 2017