By Tzvetan S. Metodi, Arvin I. Faruque, Frederic T. Chong
ISBN-10: 1608456196
ISBN-13: 9781608456192
Quantum pcs can (in conception) resolve sure difficulties a ways swifter than a classical desktop working any recognized classical set of rules. whereas current applied sciences for construction quantum desktops are of their infancy, it's not too early to think about their scalability and reliability within the context of the layout of large-scale quantum desktops. To architect such structures, one needs to comprehend what it takes to layout and version a balanced, fault-tolerant quantum computing device structure. The target of this lecture is to supply architectural abstractions for the layout of a quantum desktop and to discover the systems-level demanding situations in attaining scalable, fault-tolerant quantum computation. during this lecture, we offer an engineering-oriented advent to quantum computation with an summary of the idea in the back of key quantum algorithms. subsequent, we glance at architectural case reports dependent upon experimental facts and destiny projections for quantum computation applied utilizing trapped ions. whereas we concentration the following on architectures specified for recognition utilizing trapped ions, the ideas for quantum desktop structure layout, quantum fault-tolerance, and compilation defined during this lecture are acceptable to many different actual applied sciences which may be practicable applicants for development a large-scale quantum computing process. We additionally talk about basic concerns concerned with programming a quantum machine in addition to a dialogue of labor on quantum architectures in response to quantum teleportation. ultimately, we think of many of the open matters last within the layout of quantum pcs. desk of Contents: creation / simple parts for Quantum Computation / Key Quantum Algorithms / construction trustworthy and Scalable Quantum Architectures / Simulation of Quantum Computation / Architectural parts / Case examine: The Quantum common sense Array structure / Programming the Quantum structure / utilizing the QLA for Quantum Simulation: The Transverse Ising version / Teleportation-Based Quantum Architectures / Concluding feedback
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Extra info for Quantum Computing for Computer Architects (Synthesis Lectures on Computer Architecture)
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Applying the eigenvalue estimation algorithm using this state will perform the map: |0 1 √ r r−1 |uk k=0 1 →√ r r−1 ˜ |uk . 21) k=0 Here, we can measure the first register to get an estimate of k/r, where k is random integer between 0 and r − 1. We can use the state |0 |1 instead of |0 √1r r−1 k=0 |uk to do this without knowing r, since it is possible to show that √1 r state |1 in the superposition this superposition. Since 1 √ r r−1 k=0 |uk = |1 . To demonstrate this, consider the amplitude of the r−1 √1 k=0 |uk .
One example is using the Fourier transform to force a quantum state into a superposition such that all superposition states, with values corresponding to the period of some periodic function have a higher probability of being measured [188]. The calculated period is subsequently used to find the factors of a large number N in Shor’s factoring algorithm [185]. , qubits) can be physically entangled with one another. This means the probability amplitudes that describe the state of qubit |q are changed when another qubit |p is modified or measured whenever qubits |q and |p are entangled.
X2 |x1 . 49) This is the phase state that we required and therefore the proof is complete. x1 . . xn . The circuit is still useful for estimating other values of ω, but it does so less reliably. It can be shown that if 2xn ≤ ω ≤ x+1 2n , then we will measure the states corresponding to the binary representations of x or x + 1 with probability π82 . While this measurement probability is lower than 1, it is still good enough to be useful for a variety of applications, including period-finding.
Quantum Computing for Computer Architects (Synthesis Lectures on Computer Architecture) by Tzvetan S. Metodi, Arvin I. Faruque, Frederic T. Chong
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