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Understanding Quantum Computing

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Understanding Quantum Computing International Journal of Scientific Engineering and Applied Science (IJSEAS) - Volume-1, Issue-6, September 2015 ISSN: 2395-3470 www.ijseas.com Understanding Quantum Computing Dr. K J Sarma, SMIEEE; Dept of Humanities and Mathematics & Academic cell Malla Reddy Engineering College (Autonomous ), Secunderabad, India, Abstract: It has been decided that Quantum estimated number of atoms in the universe and Computing (Q.C.) should be pursued, as it this enormous potential computational power is would be one of the priority research areas of the well worth harvesting.” M.A. Nielsen and I.L. future having a potential for computational Chuang [ 26 ] technology development and growth. Hence there is a need to motivate and involve The digital computers operate with the help of youngsters in research activity related to transistors. Digital computers require data to be quantum computing. There is a need to keep the encoded into binary digits (bits), each of which youngsters informed of the what, why, where, is always in one of two definite states (0 or 1), when, how of quantum computing. A review and the memory is made up of the bits. The of the origin and the progress of the binary digits for data encoding quantum developments in Quantum Computing is made computation uses qubits (quantum bits), which In this paper the author tried to review various can be in super-positions of states. aspects of the Quantum Computing like A Quantum Turing machine [40] is a theoretical Architecture, Operating system, Infrastructure model of such a computer, and is also known as required if any, links with other computing the universal quantum computer. Quantum technologies, Uses, Examples, Theoretical & computers share theoretical similarities with non Practical and class-room Applications, - deterministic and probabilistic computers. In Challenges, Algorithms, Security issues and other words a quantum Turing machine (QTM), Future trends. also a universal quantum computer, is an abstract machine used to model the effect of Key words: Quantum computing, Quantum a quantum computer. It provides a very simple mechanics, qubit, quantum information, model, which captures all of the power of quantum mechanics, Richard Feynman. quantum computation. Any quantum algorithm can be expressed formally as a 1. Introduction particular quantum Turing machine. Such Turing machines were first proposed in a Quantum computing is one of the hottest topics 1985 paper written by Oxford of 21 st century. This is a computational process University physicist David that uses the quantum mechanical phenomenon Deutsch suggesting quantum gates could different from the usual digital computers. function in a similar fashion to traditional digital Quantum computing studies computing with binary logic gates[41]. theoretical computation systems that make direct use of quantum-mechanical phenomena, Quantum Turing machines are not always used such as superposition and entanglement, to for analyzing quantum computation. perform operations on data. The quantum circuit is a more common model. “ It is very interesting and well worth noting, These models are computationally equivalent. that a quantum system of 500 qubits already Quantum Turing machines can be related to requires 2 500 amplitudes to fully describe its classical and probabilistic Turing machines in a quantum state. This number is larger than the framework based on transition matrices, shown 370 International Journal of Scientific Engineering and Applied Science (IJSEAS) - Volume-1, Issue-6, September 2015 ISSN: 2395-3470 www.ijseas.com by Lance Fortnow [42]. Iriyama et. al have been great developments in VLSI designs since developed a model of a Linear Quantum Turing the introduction of valve technology. In recent Machine (LQTM). This is a generalization of a times along with the thinking of optimization of classical QTM that has mixed states and that performance greater miniaturization of the allows irreversible transition functions. These systems also took a big leap [18]. It seems the allow the representation of quantum miniaturization has almost reached saturation. measurements without classical outcomes [43]. Also if transistors are reduced in size further it A quantum Turing machine with post would hinder the research in quantum selection was defined by Scott Aaronson, who mechanics. to hinder their performance. One showed that the class of polynomial time on must pay greater attention on this limitation as such a machine is equal to the classical Quantum computers share theoretical complexity class PP [44]. similarities with non-deterministic and probabilistic computers. This is similar to the The field of quantum computing was initiated by ability to be in more than one state the work of Yuri Manin in 1980, [2] Richard simultaneously. It may be noted that the field Feynman in 1982 [22], and David Deutsch [41]. of quantum computing was first introduced by A quantum computer with spins as quantum bits Richard Feynman in 1982 [22]. The Nobel was also formulated for use as a quantum space– prize-winning physicist Richard Feynman time in 1968. Experiments have been carried out thought of the idea of a 'quantum computer', a in which quantum computational operations computer that uses the effects of quantum were executed on a very small number of mechanics to its advantage as early as in qubits. Both practical and theoretical research 1982 [22]. For quite good length of time, the continues in an effort to develop notion of a quantum computer was primarily of quantum computers for civilian, business, trade, theoretical interest only. In the recent times and national security purposes, such quantum computers have received more as cryptanalysis. attention. This interest may also be due to the Large-scale quantum computers will be able to invention of an algorithm to factor large solve certain problems much more quickly than numbers, on a quantum computer, by Peter Shor any classical computers that use even the best (Bell Laboratories). By the use of this currently known algorithms, like integer algorithm, quantum computer is able to crack factorization using Shor's algorithm [30] or codes much more quickly than any ordinary the simulation of quantum many-body systems. computer. It is reported that quantum computer There are quantum algorithms, such as Simon's is capable of performing Shor's algorithm [ 24 ] algorithm, that run faster than any possible and is able to break current cryptography probabilistic classical algorithm.[8] When techniques in a matter of seconds. sufficient computational facility is available a classical computer could be made to simulate It is expected that Quantum computers will any quantum algorithm, as quantum someday replace silicon chips, just like the computation does not violate the Church–Turing transistor replaced the vacuum tube. It seems at thesis. the moment the technology required to develop such a quantum computer may take sufficiently long time. In fact most research in quantum 2. History & Genesis Of Quantum computing remained theoretical. The most Computers: advanced quantum computers have not gone 3. beyond manipulating more than 16 qubits,; In the following we trace the origin and the meaning that they are a far away from practical genesis of Quantum Computing. There have applications. But is expected that someday the 371 International Journal of Scientific Engineering and Applied Science (IJSEAS) - Volume-1, Issue-6, September 2015 ISSN: 2395-3470 www.ijseas.com quantum computers could perform faster Shor's Algorithm is a method for finding the calculations, which are time-consuming on prime factors of numbers (which plays an conventional computers. Many advancements intrinsic role in cryptography). The scientists of have been made in quantum computing in the IBM in 2001 used a 7-qubit computer to find the last few years. We would learn of some of the factors of 15 [24]. The computer correctly developments in research on quantum deduced that the prime factors were 3 and 5. computers. The scientists at the Institute of Optics in 2005, created the first qubyte or series of 8 qubits, In 1998 Los Alamos and MIT researchers using ion traps. managed to spread a single qubit across three nuclear spins in each molecule of a liquid In 2006 Scientists in Waterloo and solution of alkaline (an amino acid used to Massachusetts devised methods for quantum analyze quantum state or trichloro-ethylene (a control on a 12-qubit system and Quantum chlorinated hydrocarbon used for quantum error control becomes more complex as systems correction) molecules. Investigators used the employ more qubits. idea of entanglement, to study interactions The computer developed in 2007 by D-Wave between states as an indirect method for demonstrated a 16-qubit quantum computer analyzing the quantum information. which is used to solve Sudoku puzzle and other The quantum computer uses nuclear magnetic pattern matching problems. The D - Wave resonance (NMR) to manipulate particles in the Company claimed to produce practical systems atomic nuclei of molecules of trans-crotonic by 2008. But some of the pessimists believed acid, a simple fluid consisting of molecules that the practical quantum computers are still made up of six hydrogen and four carbon atoms. decades away. Also the system designed by D- The NMR is used to apply Wave is not scale-able, and that many of the electromagnetic pulses, which force the particles claims on D-Wave's Web site are simply to line up. These particles in positions parallel or impossible. The name quantum comes due to counter to the magnetic field allow the quantum quantum mechanics in its inner workings. So the computer to mimic the information-encoding name is not from the problems it is solving, but of bits in digital computers. This work was how it is solving them. carried out in 2000 March. The scientists at Los Alamos National Laboratory announced the There are several limitations on the computers. development of a 7-qubit quantum computer What they can and cannot depend on the laws within a single drop of liquid.
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