1996
DOI: 10.1143/jjap.35.6347
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Flash Technology: Challenges and Opportunities

Abstract: We construct a universal tangle invariant on a quantum algebra. We show that the invariant maps tangle to commutants of the algebra; every (1, 1)-tangle is mapped to a Casimir operator of the algebra; the eigenvalue of the Casimir operator in an irreducible representation of the algebra is a link polynomial for the closure of the tangle. This result is applied to a discussion of the Alexander-Conway polynomial and quantum holonomy in Chern-Simons theory in three dimensions.

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Cited by 11 publications
(5 citation statements)
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References 11 publications
(16 reference statements)
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“…By comparing such FTJ with elements [10] in other memories such as Flash memory [11], however, we find out that there are few studies on the multiple-valued (or multi-level) cell property [11], which allows many bits to be stored in each memory cell, and reduces the memory cell size by 1/(the number of bits). If such a property is included in the FTJ, they will function as a more efficient memory cell than the conventional one.…”
Section: Introductionmentioning
confidence: 99%
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“…By comparing such FTJ with elements [10] in other memories such as Flash memory [11], however, we find out that there are few studies on the multiple-valued (or multi-level) cell property [11], which allows many bits to be stored in each memory cell, and reduces the memory cell size by 1/(the number of bits). If such a property is included in the FTJ, they will function as a more efficient memory cell than the conventional one.…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, we theoretically investigate the multiple-valued cell property [11] in the FTJ. In a possible scheme, the recorded states are supposed to be four magnetization configurations of two FMs consisting of (up, up), (up, down), (down, up), (down, down), which are obtained by applying magnetic fields to respective FMs.…”
Section: Introductionmentioning
confidence: 99%
“…Studies from another viewpoints far from the miniaturization should be necessary simultaneously. In fact, for other memories [12] such as the Flash memory [13], multiple valued (or multi-level) cell property [13], which allows the plural bits to be stored in each memory cell and accordingly reduces the memory cell size by 1/(the number of bits), has been extensively studied. On the other hand, there are few studies for the SPJ.…”
Section: Introductionmentioning
confidence: 99%
“…[1][2][3][4] There are two basic approaches possible-subtractive or additive processes. [1][2][3][4] There are two basic approaches possible-subtractive or additive processes.…”
Section: Introductionmentioning
confidence: 99%