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Search Results: 1 - 10 of 224203 matches for " Balakrishnan R "
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Left bipotent seminear-rings
R. Perumal,R. Balakrishnan
International Journal of Algebra , 2012,
Abstract:
The order difference interval graph of a group
P. Balakrishnan,R. Kala
Transactions on Combinatorics , 2012,
Abstract: In this paper we introduce the concept of order difference interval graph ODI (G) of a group G. It is a graph ODI (G) with V ( ODI (G)) = G and two vertices a and b are adjacent in ODI (G) if and only if o(b) o(a) ∈ [o(a), o(b)]. Without loss of generality, we assume that o(a) ≤ o(b). In this paper we obtain several properties of ODI (G), upper bounds on the number of edges of ODI (G) and determine those groups whose order difference interval graph is isomorphic to a complete multipartite graph.
The constitutional and legal provisions in Indian law for limiting life support
Balakrishnan S,Mani R
Indian Journal of Critical Care Medicine , 2005,
Abstract:
A Rare Co-Existence of Three Disastrous Diseases
Riyaz N,Balakrishnan R
Calicut Medical Journal , 2003,
Abstract: An unusual association of syphilis, lepromatous leprosy and HIV2 infection in a 37 year old married promiscuous man is presented.
Status of women; development and demographic change
Balakrishnan, T.R.
Canadian Studies in Population , 1987,
Abstract:
Two Episodes of Ventriculoperitoneal Shunt Migration in a Patient with Idiopathic Intracranial Hypertension
V. Balakrishnan,R. Jeanmonod
Case Reports in Emergency Medicine , 2014, DOI: 10.1155/2014/280793
Abstract: Introduction. Ventriculoperitoneal shunts are often placed as treatment for refractory idiopathic intracranial hypertension. Dislodgement and migration of the distal portion of the shunt are more common in obese patients and can be difficult to detect. We report the case of a woman with two separate episodes of shunt migration into her abdominal wall. Case Presentation. We report a case of a 37-year-old female with history of obesity eventually diagnosed with idiopathic intracranial hypertension (IIH) as the cause. She failed outpatient therapy and, through neurosurgery, had a VP shunt placed for symptom control. She had subsequent development of worsened symptoms that were found to be due to shunt migration. This happened not once but twice to the same patient. Conclusion. Shunt dislodgement, migration, and subsequent failure are common in obese patients who have shunts placed for IIH. The medical provider should maintain a high index of suspicion for shunt malfunction in these patients, particularly because clinical evaluation may be challenging due to habitus. 1. Introduction Ventriculoperitoneal shunts are often placed as treatment for refractory idiopathic intracranial hypertension. Dislodgement and migration of the distal portion of the shunt are more common in obese patients and can be difficult to detect. We report the case of a woman with two separate episodes of shunt migration into her abdominal wall. 2. Case Presentation A 37-year-old female with a history of obesity presented to the emergency department (ED) multiple times over 1 year for the evaluation and treatment of headaches. She had poor control of these headaches despite appropriate medical management including acetazolamide, therapeutic lumbar punctures (LPs), and narcotics for the purported origin of pain being idiopathic intracranial hypertension (IIH) (formerly pseudotumor cerebri). Because of the chronicity of her visits to the ED and poor control of symptoms, neurosurgery made the decision to place a ventriculoperitoneal (VP) shunt. The surgery was successful, and postoperative radiographs confirmed appropriate position of the shunt. The patient was subsequently discharged home. Ten days after the procedure, the patient presented to the ED for a wound evaluation. She had noticed some swelling at the superior aspect of her abdominal wound. The patient reported that she had felt a “pop” in her abdomen while leaning over and straining to have a bowel movement a few days prior. Her exam was remarkable for mild induration and tenderness at her surgical incision. She was diagnosed
Characterizing the geometrical edges of nonlocal two-qubit gates
S. Balakrishnan,R. Sankaranarayanan
Physics , 2009, DOI: 10.1103/PhysRevA.79.052339
Abstract: Nonlocal two-qubit gates are geometrically represented by tetrahedron known as Weyl chamber within which perfect entanglers form a polyhedron. We identify that all edges of the Weyl chamber and polyhedron are formed by single parametric gates. Nonlocal attributes of these edges are characterized using entangling power and local invariants. In particular, SWAP (power)alpha family of gates constitutes one edge of the Weyl chamber with SWAP-1/2 being the only perfect entangler. Finally, optimal constructions of controlled-NOT using SWAP-1/2 gate and gates belong to three edges of the polyhedron are presented.
Entangling power and local invariants of two-qubit gates
S Balakrishnan,R Sankaranarayanan
Physics , 2010, DOI: 10.1103/PhysRevA.82.034301
Abstract: We show a simple relation connecting entangling power and local invariants of two-qubit gates. From the relation, a general condition under which gates have same entangling power is arrived. The relation also helps in finding the lower bound of entangling power for perfect entanglers, from which the classification of gates as perfect and nonperfect entanglers is obtained in terms of local invariants.
Entangling characterization of (SWAP)1/m and Controlled unitary gates
S. Balakrishnan,R. Sankaranarayanan
Physics , 2008, DOI: 10.1103/PhysRevA.78.052305
Abstract: We study the entangling power and perfect entangler nature of (SWAP)1/m, for m>=1, and controlled unitary (CU) gates. It is shown that (SWAP)1/2 is the only perfect entangler in the family. On the other hand, a subset of CU which is locally equivalent to CNOT is identified. It is shown that the subset, which is a perfect entangler, must necessarily possess the maximum entangling power.
Operator-Schmidt decomposition and the geometrical edges of two-qubit gates
S. Balakrishnan,R. Sankaranarayanan
Physics , 2010,
Abstract: Nonlocal two-qubit quantum gates are represented by canonical decomposition or equivalently by operator-Schmidt decomposition. The former decomposition results in geometrical representation such that all the two-qubit gates form tetrahedron within which perfect entanglers form a polyhedron. On the other hand, it is known from the later decomposition that Schmidt number of nonlocal gates can be either 2 or 4. In this work, some aspects of later decomposition are investigated. It is shown that two gates differing by local operations possess same set of Schmidt coefficients. Employing geometrical method, it is established that Schmidt number 2 corresponds to controlled unitary gates. Further, all the edges of tetrahedron and polyhedron are characterized using Schmidt strength, a measure of operator entanglement. It is found that one edge of the tetrahedron possesses the maximum Schmidt strength, implying that all the gates in the edge are maximally entangled.
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