Chapter 6 Quantum Computation
... circuit might act in either one of two ways, and flip a fair coin to decide which action to execute. Such a circuit, for a single fixed input, can sample many possible computational paths. An algorithm performed by a probabilistic circuit is said to be “randomized.” If we attack a decision problem u ...
... circuit might act in either one of two ways, and flip a fair coin to decide which action to execute. Such a circuit, for a single fixed input, can sample many possible computational paths. An algorithm performed by a probabilistic circuit is said to be “randomized.” If we attack a decision problem u ...
Precisely Timing Dissipative Quantum Information
... how to perform D1WQC by using the timer and initialization gadgets. Before we start, let us emphasize that one does not need to have any coherent unitary control over the quantum system but instead merely makes use of dissipative dynamics exhibiting quantum and classical features. Still, it is the v ...
... how to perform D1WQC by using the timer and initialization gadgets. Before we start, let us emphasize that one does not need to have any coherent unitary control over the quantum system but instead merely makes use of dissipative dynamics exhibiting quantum and classical features. Still, it is the v ...
Synthesising arbitrary quantum states in a
... Radon transform18, 26, 27 , or measured at enough points to fit the density matrix3, 28 , from which the Wigner function is reconstructed. The high resolution direct mapping of the Wigner function used here is an important verification of our state preparation. The good agreement in shape shows that ...
... Radon transform18, 26, 27 , or measured at enough points to fit the density matrix3, 28 , from which the Wigner function is reconstructed. The high resolution direct mapping of the Wigner function used here is an important verification of our state preparation. The good agreement in shape shows that ...
Quantum fluctuation relations: Foundations and applications
... It hence is of statistical nature. Its use and properties are discussed in many textbooks on statistical mechanics. The other ingredient, concerning the dynamics of the system, is the principle of microreversibility. This point needs some clarification since microreversibility is customarily underst ...
... It hence is of statistical nature. Its use and properties are discussed in many textbooks on statistical mechanics. The other ingredient, concerning the dynamics of the system, is the principle of microreversibility. This point needs some clarification since microreversibility is customarily underst ...
Good Families of Quantum Low-Density
... codes, review related work, and give an introduction to topological quantum errorcorrection. In the fourth chapter, we present good families of low-density paritycheck error-correcting codes derived from Platonic Surfaces and in the fifth chapter, from Ramanujan Surfaces. For both families, we prove ...
... codes, review related work, and give an introduction to topological quantum errorcorrection. In the fourth chapter, we present good families of low-density paritycheck error-correcting codes derived from Platonic Surfaces and in the fifth chapter, from Ramanujan Surfaces. For both families, we prove ...
107, 195303 (2011)
... field and Rashba type of SOC. Under the mean-field approximation, we derive the superfluid gap and atom density equations and solve them self-consistently in the BCSBEC crossover region. Our main results are the following: (I) It is well known that the superfluid can be destroyed by the Zeeman field ...
... field and Rashba type of SOC. Under the mean-field approximation, we derive the superfluid gap and atom density equations and solve them self-consistently in the BCSBEC crossover region. Our main results are the following: (I) It is well known that the superfluid can be destroyed by the Zeeman field ...
Full-Text PDF
... entropy production in such systems when an external driving force is applied to the central region. The time dependence of the external force can be arbitrary or periodic [10,11,13,15]. The long-time limit behaviour of the NE thermodynamics also presents very interesting properties [12–14]. Indeed, ...
... entropy production in such systems when an external driving force is applied to the central region. The time dependence of the external force can be arbitrary or periodic [10,11,13,15]. The long-time limit behaviour of the NE thermodynamics also presents very interesting properties [12–14]. Indeed, ...
pdf
... 3 shows the block diagram for our proposed architecture. Within each SIMD region, a large amount of data-level parallelism is available—100 - 10,000 qubits. In this manner, the architecture can support k independent regions each allowing d bits of SIMD computation, where k is limited by the number o ...
... 3 shows the block diagram for our proposed architecture. Within each SIMD region, a large amount of data-level parallelism is available—100 - 10,000 qubits. In this manner, the architecture can support k independent regions each allowing d bits of SIMD computation, where k is limited by the number o ...
Direct Characterization of Quantum Dynamics: General Theory
... variety of systems including liquid-state nuclear magnetic resonance (NMR) [6, 7, 8], optical [9, 10], atomic [11], and solid-state systems [12]. The second type of QPT scheme is known as Ancilla-Assisted Process Tomography (AAPT) [13, 14, 15, 16]. In AAPT one makes use of an ancilla (auxilliary sys ...
... variety of systems including liquid-state nuclear magnetic resonance (NMR) [6, 7, 8], optical [9, 10], atomic [11], and solid-state systems [12]. The second type of QPT scheme is known as Ancilla-Assisted Process Tomography (AAPT) [13, 14, 15, 16]. In AAPT one makes use of an ancilla (auxilliary sys ...
Max Born
Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.