Quantum structures and their future importance

Anas N. Al‐Rabadi

Many-valued quantum circuit synthesis of many-valued reversible expansions and fast transforms is introduced in this paper. Since the reduction of power consumption is a major requirement for the circuit design in future technologies, such as in quantum computing, the main features of several future technologies will include reversibility. Consequently, the new quantum circuits can play an important task in the design of future circuits that consume minimal power. In addition, the new quantum circuit methodology is general and can be used to realize any multiple-valued function in the quantum space. It is also shown that the structural generality advantage that results from the new design methodology is opposed with the increased quantum structural complexity disadvantage which may be considered in any further cost-benefit design analysis.

Damian Rovara, Daniel Haag, Mark Koch +8 more

As quantum software stacks scale up to support future fault-tolerant quantum hardware and algorithms, quantum compilation is becoming an increasingly important component of the stack. How do we ensure that our software stacks support dynamic algorithms, including patterns such as mid-circuit measurement feedforward and repeat-until-success, with hundreds of logical qubits and billions of quantum operations? To do so, we must re-think how we represent quantum programs beyond straight-line circuits, to representations that include classical structure and dynamism, and make this the default representation to consider when performing quantum compilation. In this work, we present important patterns and algorithms from fault-tolerant quantum applications which admit a structured representation that we argue is crucial to preserve, and set a challenge to the community to compile such representations without unrolling them into straight-line quantum circuits. We also explore the status quo of structured program support in quantum software, and ask ourselves the rhetorical question: how much more efficient can we make quantum compilation tooling when we take into account the additional information from classical structure?

Pierre Lavallée

Ruth E. Kastner, J. Jeknić-Dugić, George Jaroszkiewicz

Anatolij Dvurečenskij

Marina Lisnichenko, Stanislav Protasov

Bioelectronics is a perspective future of electronics. The modelling of the protein is an important part that allows to search the appropriate folding structure with applicable conductivity properties. The classical computers struggle from modelling large structures because of number degrees of freedom. The mathematical modelling inside the quantum programming paradigm is a possible way to overcome this factor. This work describes a simplification algorithm of bio material (protein) model used in bioelectronics