Research Interest:  

1. Signal processing for Quantum Tomography.

2. Application of Quantum algorithms in wireless communication.

3. Detection and Estimation Theory.

Project Abstract: Quantum-Inspired Signal Detection in Wireless Communications and Quantum State Tomography

1. Work 1: Maximum Likelihood Criterion-Based Signal Detection of a MIMO-OFDM System Using Modified Semi-Quantum Search Algorithm.

Harnessing the power of quantum mechanics, this work focuses on signal detection in MIMO-OFDM systems by employing Grover’s Quantum Search Algorithm. This algorithm, known for its exponential speedup compared to classical counterparts, serves as a cornerstone. Exploring Grover's Search-Based Algorithms, including the BBHT Algorithm and DHA, we present three significant contributions:

• Enhanced BBHT Algorithm: We improve success probability and reduce query complexity by incorporating skewed data selection from the Gamma Distribution.

• Novel Semi-Quantum Framework: Accelerating DHA, our framework involves the progressive removal of above-threshold data points, enhancing efficiency.

• Extending Scope: While signal detection in MIMO-OFDM systems using ML criteria poses computational challenges, our use of Quantum Search algorithms promises substantial speedup.

2. Work 2: Modified Least Squares-based Tomography with Density Matrix Perturbation and Linear Entropy Consideration.

• In the realm of Quantum State Tomography (QST), this work focuses on identifying target quantum states through the measurement of identical copies. Our contributions include:

• Enhancing Post-processing Complexity of QST: We propose a novel approach for positivity assurance without costly EVD-based post-processing, significantly reducing computational complexity to O(d^2) from O(d^3).

• Least-squares With Maximum Entropy (LSME) based-QST: Our LSME Algorithm improves QST estimation accuracy by balancing Maximum Entropy and LS Criteria, providing improved state estimation across sample complexity scenarios.

3. Work 3: Linear Minimum Mean Square Estimation (LMMSE) based QST with Adaptive Framework.

This work advances Quantum State Estimation with prior statistical knowledge. Two key contributions include:

• Advancing Quantum State Estimation: We introduce a Linear Bayesian Framework with LMMSE Criterion, empowering practical applications and enhancing accuracy.

• Efficiency Through Adaptation: Our proposed algorithm updates statistics via block estimation without matrix inversion, improving robustness and reducing complexity for efficient quantum state estimation.

Publication and Patents

PUBLICATION:

Accepted:

1. Mondal, Subhadeep, and Amit Kumar Dutta, "A Bayesian Quantum State Tomography Along with Adaptive Frameworks based on Linear Minimum Mean Square Error Criterion", New Journal of Physics.  DOI:  10.1088/1367-2630/ad0e49   LINK 

2. Mondal, Subhadeep, and Amit Kumar Dutta. "A modified least squares-based tomography with density matrix perturbation and linear entropy consideration along with performance analysis." New Journal of Physics 25.8 (2023): 083051.

3. S. Mondal, M. R. Laskar and A. K. Dutta, "ML Criterion Based Signal Detection of a MIMO-OFDM System Using Quantum and Semi-Quantum Assisted Modified DHA/BBHT Search Algorithm," in IEEE Transactions on Vehicular Technology, vol. 70, no. 2, pp. 1688-1698, Feb. 2021, doi: 10.1109/TVT.2021.3055537.

4.  Laskar, Mostafizur Rahaman, Subhadeep Mondal, and Amit Kumar Dutta. "A Low Complexity Quantum Simulation Framework for Toeplitz-Structured Matrix and its Application in Signal Processing." IEEE Transactions on Quantum Engineering (2023). (Paper co-authored)

5. Laskar, Mostafizur Rahaman, Subhadeep Mondal, and Amit Kumar Dutta. "Eigen-spectrum estimation and source detection in a massive sensor array based on quantum assisted Hamiltonian simulation framework." IEEE Transactions on Communications 70.6 (2022): 4013-4025. (Paper co-authored)

 Patent (applied):

1. Title “ SYSTEM AND METHOD TO CHARACTERIZE AN UNKNOWN QUANTUM STATE AND OBTAIN PHYSICALLY RELIABLE ESTIMATE OF THE UNKNOWN QUANTUM STATE” in the name of INDIAN INSTITUTE OF TECHNOLOGY KHARAGPUR. Indian Patent application No. 202331057229.

2. Title “Bayesian Quantum State Tomography Architecture with Adaptive  Linear Minimum Mean Square Error Criterion.” 

Professional Responsibilities

Teaching Assistant(NPTEL)

Signal Processing for mm-Wave communication for 5G and beyond.((2021 & 2022)

Certificate attached here

Teaching Assistant(GSSST, IIT Kharagpur)(2019-)

1. Communication Hardware Laboratory.(2019-2020)

2. Communication Simulation Laboratory.(2019-2020)

3. Spread Spectrum communication and Jamming.(2021-2022)

4. Information Theory and coding. (Spring 2022)

5. Do it Yourself (DIY) Lab. (April 2022)

6. Training Program on Electrical and Electronics for HAL. (May,2022-April,2022)