DYNAMICS OF ENTANGLED PAIR OF SPIN-1/2 PARTICLES IN THE PRESENCE OF RANDOM MAGNETIC FIELDS

PYDIMARRI, VENKATA SATYA SURYA PHANEENDRA

Please use this identifier to cite or link to this item: http://hdl.handle.net/11375/27382

Full metadata record

DC Field	Value	Language
dc.contributor.advisor	FIELD, TIMOTHY R.	-
dc.contributor.author	PYDIMARRI, VENKATA SATYA SURYA PHANEENDRA	-
dc.date.accessioned	2022-02-24T15:25:11Z	-
dc.date.available	2022-02-24T15:25:11Z	-
dc.date.issued	2022	-
dc.identifier.uri	http://hdl.handle.net/11375/27382	-
dc.description	Quantum communication protocols require maximally entangled state of pair of qubits (spin-1/2 states in this context) to be shared between sender and the receiver. The entangled qubits lose entanglement because of random magnetic field disturbances. The dynamics in the form of joint density matrix of random pure entangled state provide the steady (joint) state and the associated timescales (time taken by the pair to reach the steady state) providing a scope in future to quantify the effective utilization of quantum communication protocols.	en_US
dc.description.abstract	The dynamics of an identical pair of entangled spin-1/2 particles, both subjected to the identical, independent, correlated random magnetic fields is studied. The dynamics of the pure joint state of the pair is derived using stochastic calculus. In case of identical fields, an ensemble of such pure states are combined using the modified spin joint density matrix and the joint relaxation time is obtained for the pair of spin-1/2 particles. These dynamics can be interpreted as special kind of correlations involving the spatial components of the Bloch polarization vectors of the constituent entangled spin-1/2 particles. In case of independent random magnetic fields, the dynamics are obtained by considering a pure joint state of entangled spin-1/2 particles. The disentanglement time defined as the time taken for the particles to become disentangled, is obtained. In case of correlated random magnetic fields, the dynamics of a maximally entangled pair of spin-1/2 particles are derived in terms of the joint density matrix of the entangled pair from which the steady state density matrix and the associated timescale for it to be reached are obtained. The asymptotic density matrix in this case represents a state of (partial) disentanglement. In other words, there is a persistent entanglement in case of correlated field disturbances.	en_US
dc.language.iso	en_US	en_US
dc.subject	ENTANGLEMENT	en_US
dc.subject	QUANTUM COMMUNICATION PROTOCOLS	en_US
dc.subject	SPIN	en_US
dc.subject	NMR	en_US
dc.subject	RANDOM MAGNETIC FIELDS	en_US
dc.subject	STOCHASTIC DIFFERENTIAL EQUATIONS	en_US
dc.subject	PAIR OF SPINS	en_US
dc.subject	RELAXATION	en_US
dc.title	DYNAMICS OF ENTANGLED PAIR OF SPIN-1/2 PARTICLES IN THE PRESENCE OF RANDOM MAGNETIC FIELDS	en_US
dc.type	Thesis	en_US
dc.contributor.department	Computational Engineering and Science	en_US
dc.description.degreetype	Thesis	en_US
dc.description.degree	Doctor of Philosophy (PhD)	en_US
dc.description.layabstract	Maximally entangled pair of quantum bits (in the form of spin-1/2 states) lose entanglement either partially or completely depending upon the nature of random magnetic field disturbances around them (correlated/independent/identical fields). The dynamics of entangled states (in the form of density matrix of a random pure state) in the presence of random magnetic fields are obtained using the ideas of stochastic calculus to understand the steady state of the pair and the associated timescales to be reached.	en_US
Appears in Collections:	Open Access Dissertations and Theses

Files in This Item:

File	Description	Size	Format
Pydimarri_VenkataSatyaSuryaPhaneendra_finalsubmissionFebruary2022_PhD.pdf Access is allowed from: 2024-12-31	Thesis	1.24 MB	Adobe PDF	View/Open

Show simple item record