Generally, in order to perform quantum computing, one should do the following [3]: (1) prepare the quantum computer in an initial state |ψin〉; (2) carry out the given unitary transformation U, that is, |ψout
Our quantum algorithm utilizes the quantum computation in the computational basis (QCCB) and a setting of updatable quantum memory. We further present a systematic approach to applying the QCCB to simulate any quantum algorithm. By this approach, the simulation time does not exceed O(N2polylog(N)...
On this basis, we discuss the question: To what extent can quantum state machines be simulated by classical probabilistic state machines? Each state machine is devoted to a single task determined by its program. Real computers, however, behave differently, being able to solve different kinds of ...
The 1950s saw the emergence of digital computing equipped with quantum computing devices’ massive processing power. Researchers have been approaching digital computing from a new angle since the 1980s, employing matter’s innate quantum characteristics to accomplish intricate computations (Nielsen & Chuan...
On the basis of these assumptions we estimate that, on average, it would take Fugaku 9,000 years to generate one sample, or 9 billion years for the million samples we collected from Borealis. Using the same assumptions, we estimate that Fugaku would require 1.5 h, on average, to...
A fundamental step in the calculation of the electronic structure of molecules and solids at the quantum-mechanical level of theory is the solution of the time-independent Schrödinger equation describing interacting electrons in the field of the nuclei. Such a solution provides the basis for the ...
or in the unitary representation in the conventional computational basis by G kl (λ kl ) = Diag[e −i 1 2 λ kl , e i 1 2 λ kl , e i 1 2 λ kl , e −i 1 2 λ kl ] (B2) where the operators I pz = 1 2 σ pz (p = k, l), σ is Pauli ′ s operator and...
The Woodward-Hoffmann rules and Salem diagrams of the 1960s and 1970s still serve as the basis for the day-to-day analysis of photoreactions…”. On the other hand, other research groups in the field of organic photochemistry were tackling this computational problem and realized that a ...
[148,149], quantum computing [150], and all-optical neural networks [151,152]), computational light microscopy now is ready to enter an explosive phase of development. Nevertheless, we have to admit that in this field, these flamboyant concepts are not yet matched by mature technologies and ...
Dual thio-digalactoside-binding modes of human galectins as the structural basis for the design of potent and selective inhibitors Tung-Ju Hsieh 1, Hsien-Ya Lin 1 2, Zhijay Tu 1, Ting-Chien Lin 1 2, Shang-Chuen Wu 1 3, Yu-Yao Tseng 1, Fu-Tong Liu 4, Shang-Te Danny Hsu 1 3,...