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International Conference on Experience of Designing and Applications of CAD Systems in Microelectronics

Quantum data structures for SoC design

Svetlana V. Chumachenko, Alexander Shkil, Anastasiya Hahanova, Artur Ziarmand, Aleksey Pryimak

Published Feb 1, 2015• 0 citations
Publisher

Abstract

A qubit-vector model of computing automaton is proposed; it is characterized by the transactional interaction of memory components, which represent the combinational and sequential elements and are implemented in the form of a qubit or “quantum” primitives needed to create parallel virtual computers and cloud-focused processors.
DOI
10.1109/cadsm.2015.7230875

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"Quantum" processors' structure for simulation and verification of digital system is proposed. It is based on transactions between addressable memory components to realize any functionality. The new approach for analysis of digital systems is proposed. It is supposed to apply vector form (quantum) of combinational and sequential structures implemented into memory elements. This approach remarkably differs from the common design theory of discrete devices based on logic truth tables of components. It is based on an opportunity of applying quantum or qubit data structures in modern computers when doing calculating processes with the purpose of unary coding states of input, internal and output variables, and also on the technology of qubit-vectors implementation into memory elements FPGA, which realize combinational and sequential primitives. The use of quantum memory-based only models for describing digital components when designing computer systems would allow us to increase yield, enhance reliability of computers, make the process of design and production of devices cheaper, and also provides human-free repairing in remote & online mode.
Context. Nature is the relation among processes and phenomena. Nothing exists in the universe without relations. Computer is transactions of relations between data with the help of control and execution mechanisms. Quantum relations are a superposition of particles and their states. Superposition and entanglement are equivalent concepts. Entanglement is a non-local superposition of deterministic states. A quantum computer is unconditional transactions of relations between qubit data. Quantum computer is an analog device for parallel solution of combinatorial problems. Practically oriented definitions of the quantum computer concepts are the path to development of scalable quantum parallel algorithms for combinatorial problems solving. Any algorithm can be reduced to a sequence of operations without conditions, because any truth table is a collection of a complete system of conditions-states. Any sequence of actions can always be reduced to one parallel operation. Conditions and sequences arise only when the developer wants to use previously created primitive constructs to build an always non-optimal computing unit. The paradigm of quantum computer creation is determined through the use of photonic transactions on the electrons of an atom may exclude the use of quantum logic. The evolutionary path of a quantum computer from the classical one: “memory-address-transaction” (MAT) → “electron-addresstransaction” → “electron-address-quantaction” (EAQ) → state-superposition-logic. The meeting point of classical and quantum computers is photon transactions on the structure of electrons. Everything that is calculated on a quantum computer can be calculated in parallel on a classical one on account of memory redundancy. The given example is a memory-driven algorithm for modeling digital products based on qubit-vector forms of functionality description for significant performance boost of computing processes by parallel execution of logical operations. Objective. Simulation of the correct SoC-component behavior based on vector representation of the logic. Formation of the triggering development of a computing based on the superposition of the classical, quantum and analog computing process, which in its development should be based on technological qubit, tabular and vector data structures for the parallel solution of combinatorial problems. Method. MAT-computing implements any algorithms on account of transactions (read-write) in memory. Qubit-vector models for describing functionalities, which differ from known truth tables in compactness of description and manufacturability for the implementation of parallel algorithms of the synthesis and analysis of digital devices and SoC-components. Results. 1) The metric of the technological data structures, focused on parallel troubleshooting in digital systems based on the usage of two logical vector operations, was proposed for the first time. 2) The metric of relations between the individual components of QC, allowing organizing a quantum deterministic computer, has been further developed. 3) Quantum architectural solutions, that allow solving coverage problems in a quasi-parallel mode, were proposed for the first time. 4) Architectural solutions based on an analog-to-digital computing, which can be used to solve the problems of the digital systems parallel analysis, have been further developed. 5) Vector-qubit structures of the logic data, that allow a quasi-parallel simulation of digital circuits, were proposed. Conclusions. Qubit models, quantum methods and combinatorial algorithms for technical diagnostics of digital devices have been implemented, which can significantly (up to 25%) reduce the time of test synthesis, deductive modeling of faulty and correct behavior, search for defective states by introducing an innovative idea of using qubit-vector data structures for describing logical components. Comparative assessments of qubit models and methods usage show an increase in the efficiency of algorithms for modeling digital devices compared to tabular ones. The superposition of a classical, quantum and analog computer is integrally represented, which allows to find the best solutions for recognition and decision making.
Qubit models and methods for improving the performance of software and hardware for analyzing digital devices through increasing the dimension of the data structures and memory are proposed.The basic concepts, terminology and definitions necessary for the implementation of quantum computing when analyzing virtual computers are introduced.The investigation results concerning design and modeling computer systems in a cyberspace based on the use of two-component structure <memory -transactions> are presented.
Nature is the relations between processes and phenomena. Nothing exists in a Universe without relations. Computing is the transaction of relations between data using control and execution mechanisms. Quantum relations are a superposition of particles and their states. Quantum computing is unconditional transactions of relations between qubit data. Entanglement is a nonlocal superposition of deterministic states. A quantum computer is an analog device for solving combinatorial problems in parallel. Practically focused definitions of the concepts of quantum computing represent a path to the development of scalable quantum parallel algorithms for solving combinatorial problems. Any algorithm can be reduced to a sequence of operations without conditions, because any truth table is a collection of a complete system of conditions-states. Any sequence of actions can always be reduced to one parallel operation. Conditions and sequences arise only when the developer uses previously created primitives-constructs to build an always non-optimal calculator. The deterministic paradigm of creating quantum computing by using photon transactions on the electrons of an atom can exclude the use of quantum logic. The evolutionary path of quantum computing from the classical one: Memory-Address-Transaction (MAT) →\rightarrow→ Electron-Address-Transaction →\rightarrow→Electron-Address-Quantaction (EAQ)→\rightarrow→State-Superposition- Logic. What is calculated on a quantum computer can be calculated in parallel on a classical computer due to the redundancy of memory. MAT-computing implements any algorithms through transactions (read-write) in memory. Qubit-vector models for describing functionalities differ from the known truth tables in terms of compactness of description and technological implementation of parallel algorithms for the synthesis and analysis of digital devices and SoC-components. An example is given – a memory-driven algorithm for simulating digital devices based on qubit-vector forms of describing functionalities for a significant increase in the productivity of computing processes by parallel execution of logical operations. Comparative evaluations of the use of qubit models and methods show an increase in the efficiency of algorithms for simulating digital devices in comparison with tabular ones. The superposition of classical, quantum and analog computing is integrally presented, which makes it possible to search the best solutions for recognition and decision making.
"Quantum " data structures for synthesis of digital system are proposed. They are based on transactions between addressable memory components to implement any functionality. The new approach of logic function minimization for synthesis of digital systems is proposed. It is supposed to apply vector form (quantum) of description logic and sequential structures implemented into memory elements. This approach remarkably differs from the common synthesis theory of discrete devices based on truth tables of components. It is based on an opportunity of applying quantum or qubit data structures [1-5] in modern computers when doing calculating processes with the purpose of unary coding states of input, internal and output variables, and also on the technology of qubit-vectors implementation into memory elements FPGA, which realize combinational and sequential primitives. The use of quantum memory-based only models for describing digital components when computer systems design would allow us to increase yield, enhance reliability of computers, make the process of design and production of devices cheaper, and also provides human-free repairing in remote & online mode.