Mathematical models regarding the basic informative elements for the classical computers and the quantum computers respectively. (English) Zbl 1312.81043

Baica, Malvina; Cardu, Mircea

Transylv. J. Math. Mech. 6, No. 1, 9-11 (2014).

Summary: In this paper, we use the result obtained in a previous paper [the authors, “Dual and bipolar mathematical models derived from the solutions of two very simple mathematical equations and their application in physics”, ibid. 4, No. 1, 1–7 (2012)] regarding the pairs of the DUAL roots \((+1 \text{ OR} -1)\) and respectively BIPOLAR roots \((+1 \text{ AND } -1)\) of a couple of equations “seen in the mirror” \((y^2\pm 1=0)\) and with the help of a mathematical artifice we arrive to the basic informative elements characteristic to the classical computers \((1 \text{ OR } 0)\) and respectively to the quantum computers \((1 \text{ AND } 0)\). In this way, we also prove that the two categories of the basic informative elements have joint origin in the couple of the equations mentioned above.

MSC:

81P68	Quantum computation
68Q12	Quantum algorithms and complexity in the theory of computing

Keywords:

computer science