Siddhant Singh | Indian Institute of Technology Kharagpur (original) (raw)
4th year undergraduate in the Department of Physics @ IIT Kharagpur, India. My present field of expertise and interest is Quantum Information and Quantum Computation, especially the behavior and bounds of Quantum Correlations (Discord and Entanglement). I wish to pursue my PhD later on in future in the intersection of the areas of Quantum Information, Condensed Matter and Cosmology. Physics of correlations and information in concern of unification in Physics.
Supervisors: Mircea Trif, Bibhas Adhikari, and Abhas Mitra
Phone: +91 9800353999
Address: IIT Kharagpur, Kharagpur, 721302 India.
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Drafts by Siddhant Singh
Quantum Discord is a measure of general quantum correlations in a multipartite state. It does not... more Quantum Discord is a measure of general quantum correlations in a multipartite state. It does not necessarily equals entanglement but is a measure of general non-classical correlations. However, it does not cover all the quantum correlations but describes a theoretic class of them. This is my summer 2017 research work report on few calculations of quantum discord under the guidance of Dr.Bibhas Adhikari. First, I derive the exact formula for the calculation of right-handed quantum discord for a two-qubit X-state and then for a pair of qutrits. Secondly, I aim to generalize it for a pair of qdrits which have arbitrary dimensionality but yet belong to the class of generalized X-states. I then try to look for a broader class of states which can be taken to belong to the class of states having a zero quantum discord classified by the form of their composite density matrix.
Papers by Siddhant Singh
We propose a protocol for multipartite secret sharing of quantum information through an amplitude... more We propose a protocol for multipartite secret sharing of quantum information through an amplitude damping quantum channel. This network is, for example, of two organizations communicating with their own employees connected via classical channels locally. We consider a GHZ state distributed among four members in an asymmetric fashion where the members of a sub-party collaborate to decode the received information at their end. The target is to send two bits of information in one execution of the protocol. Firstly, we consider an ideal channel and observe that our protocol enables decoding of a secret 2-bit information with unit probability. This is accomplished by one of the senders by the use of a globally operated quantum teleportation operator. Secondly, we implement the same protocol in a realistic scenario under energy dissipation by the use of a parameterized amplitude damping channel with variable noise. This noise is associated with energy dissipation and hence, loss of probability to distinguish and decode the information at the receiving end. Finally, we make this task possible through an optimization algorithm. Various channel quality measures are also quantitatively ascertained.
Quantum Discord is a measure of general quantum correlations in a multipartite state. It does not... more Quantum Discord is a measure of general quantum correlations in a multipartite state. It does not necessarily equals entanglement but is a measure of general non-classical correlations. However, it does not cover all the quantum correlations but describes a theoretic class of them. This is my summer 2017 research work report on few calculations of quantum discord under the guidance of Dr.Bibhas Adhikari. First, I derive the exact formula for the calculation of right-handed quantum discord for a two-qubit X-state and then for a pair of qutrits. Secondly, I aim to generalize it for a pair of qdrits which have arbitrary dimensionality but yet belong to the class of generalized X-states. I then try to look for a broader class of states which can be taken to belong to the class of states having a zero quantum discord classified by the form of their composite density matrix.
We propose a protocol for multipartite secret sharing of quantum information through an amplitude... more We propose a protocol for multipartite secret sharing of quantum information through an amplitude damping quantum channel. This network is, for example, of two organizations communicating with their own employees connected via classical channels locally. We consider a GHZ state distributed among four members in an asymmetric fashion where the members of a sub-party collaborate to decode the received information at their end. The target is to send two bits of information in one execution of the protocol. Firstly, we consider an ideal channel and observe that our protocol enables decoding of a secret 2-bit information with unit probability. This is accomplished by one of the senders by the use of a globally operated quantum teleportation operator. Secondly, we implement the same protocol in a realistic scenario under energy dissipation by the use of a parameterized amplitude damping channel with variable noise. This noise is associated with energy dissipation and hence, loss of probability to distinguish and decode the information at the receiving end. Finally, we make this task possible through an optimization algorithm. Various channel quality measures are also quantitatively ascertained.