It is the hardest to make. Research and development in this monumental enterprise involve just about every field of science and engineering (Chen et al. Quantum logic is defined as algebra related to a complete description of quantum systems and its role in quantum computation. Matrices are very powerful in quantum computing as they can be used to represent quantum logic gates. Quantum computing is fundamentally different in that it uses what is called quantum bits (qubits), which expand the binary limits by following quantum logic represented as a one or zero of digital data and the logic of superposition in which a qubit is represented not just by … Quantum logic is defined as algebra related to a complete description of quantum systems and its role in quantum computation. Universal Quantum Computing (Circuit Model) A universal quantum computer would be able to solve any problem that any quantum paradigm can solve. His main research interests are: quantum computing, quantum optics, quantum computational structures and logic. He has published over 40 papers in international journals and holds a patent on the construction of quantum circuits. A complete description of a quantum system, such as a molecule, includes not only spins as with qubits, but also positions, momenta, and potentials of nucleons and electrons, and this, in the standard approach, requires infinite-dimensional Hilbert spaces. In matrix form it is represented as: For example the Pauli-X gate: This is a single qubit gate that flips |0 to |1 and vice versa. Quantum computing is a vast and fascinating interdisciplinary project of the 21st century. Quantum annealing has potential applications in predicting financial markets, detecting fraud, machine learning and a whole lot more. fact, we argue that the logic underlying quantum computation at the Planck scale is not just standard quant um logic, (as in the case of ordinary quan tum computers), but it is basic logic. Abstract. He is the president of the "International Quantum … How Matrices represent Quantum logic gates. in Mathematics of quantum computation and quantum technology.