Concurrence quantum computing pdf

What is the motivation for the definition of concurrence. The most common socalled circuitbased quantum computers build their algorithms based on qgates representing logical operations on the entangled quantum states. Here, we shall adhere to this proposal by studying the concurrence of a physically realizable state such as the bcs state 10. One frequently mentioned application is feynmans original proposal of simulating quantum systems, and in. Pdf quantum entanglement is at the heart of quantum information. The concurrence is an entanglement monotone defined for a mixed state of two. For twoqubit pure states, the negativity is the same as the concurrence. Pdf an analysis of concurrence entanglement measure and. For a pure state of two qubits, the concurrence c2. An analysis of concurrence entanglement measure and quantum fisher information of quantum communication networks of twoqubits conference paper pdf.

In quantum information science, the concurrence is a state invariant involving qubits. Quantum computing is a new and exciting field at the intersection of mathematics, computer science and physics. Quantum mechanics qm describes the behavior and properties of elementary particles ep such as electrons or photons on the atomic and subatomic levels. What is the motivation for the definition of concurrence in quantum information. A gentle introduction eleanor rieffel and wolfgang polak. In fact, wooters proposes to use concurrence 2 as an entanglement measure in its own right. Pdf a comparative study of negativity and concurrence based on. We can build any algorithm based on qgates that act on only one or two qubits at a time. An introduction to quantum computing for nonphysicists. Quantum computing is a field that aims to exploit the principles of superposition and entanglement to perform computations. Quantum discord and entanglement in grover search algorithm in. By using quantum bits qubits a quantum computer is able to perform. On the surface, the definition looks pretty ad hoc. Imperfections and noise in realistic quantum computers may seriously affect the.

Using the metrics of concurrence and geometric quantum discord, we show. If the inline pdf is not rendering correctly, you can download the pdf file here. Pdf david mcmahon quantum computing explainedbookfi. There are very few cases where we have a solution to a quantum manybody problem in the form of an explicit wave function. First, the concurrence, defined in the bipartite pure case by. As quantum computing technology improves and quantum computers with a small but nontrivial number of n 100 qubits appear feasible in the near future the question of possible applications of small quantum computers gains importance. An introduction to quantum computing for nonphysicists eleanor rieffel fx palo alto labratory and wolfgang polak consultant fx palo alto laboratory, 3400 hillview avenue, palo alto, ca 94304 richard feynmans observation that certain quantum mechanical effects cannot be simulated ef. For the concurrence, there is monogamy of entanglement. Entanglement of formation for a class of quantum states. The definition is often given for the case of 2 qubits only. Quantify entanglement by concurrence hierarchy heng fan, keiji matsumoto, hiroshi imai quantum computing and information project, erato, japan science and technology corporation, daini hongo white bldg. Pdf a comparative study of concurrence and negativity of general. The next decade in quantum computing and how to play. Concurrence quantum computing jump to navigation jump to search.