Quantum error-correcting codes from algebraic curves
... to reflect that upon observation the qubit collapses to 0 with probability | α |2 and to 1 with probability | β |2 . Notice that the qubit may be viewed as a vector in C2 . As in classical coding theory, one may consider larger alphabets such as Fq where q = pm and p is prime. Here, the units of inf ...
... to reflect that upon observation the qubit collapses to 0 with probability | α |2 and to 1 with probability | β |2 . Notice that the qubit may be viewed as a vector in C2 . As in classical coding theory, one may consider larger alphabets such as Fq where q = pm and p is prime. Here, the units of inf ...
Good Families of Quantum Low-Density
... using quantum LDPC error-correcting codes would require sparse local physical interactions. Therefore, the study of quantum LDPC codes can impact the development of scalable quantum computers. It is promising that DiVicenzo [15] has envisioned that quantum computing architectures could be further de ...
... using quantum LDPC error-correcting codes would require sparse local physical interactions. Therefore, the study of quantum LDPC codes can impact the development of scalable quantum computers. It is promising that DiVicenzo [15] has envisioned that quantum computing architectures could be further de ...
Compiler Management of Communication and Parallelism for
... Thus, in order to use the state of a qubit in another part of the architecture, that qubit must be physically moved. This can be costly on computation time, therefore in Section 2.3 we describe the use of a technique called quantum teleportation, which allows these movements to be hidden by pipelini ...
... Thus, in order to use the state of a qubit in another part of the architecture, that qubit must be physically moved. This can be costly on computation time, therefore in Section 2.3 we describe the use of a technique called quantum teleportation, which allows these movements to be hidden by pipelini ...
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... [18]. For example, 2-qubit gates may physically take up to 10 times the latency of 1-qubits gates. Moreover, by choosing QT as the method of communication, we mask the latency of moving qubits around. This masking is possible by pre-distribution of these pairs before they are needed for the teleport ...
... [18]. For example, 2-qubit gates may physically take up to 10 times the latency of 1-qubits gates. Moreover, by choosing QT as the method of communication, we mask the latency of moving qubits around. This masking is possible by pre-distribution of these pairs before they are needed for the teleport ...
Exploring dynamical phase transitions and prethermalization with
... moment-generating function G(s,t) = e−s N̂ t . For the O(N ) model in the large-N limit, this quantity can be computed exactly. Indeed, since the theory is effectively quadratic and the different k modes interact only through the renormalization of the mass r(t), we obtain G(s,t) = k Gk (s,t) ...
... moment-generating function G(s,t) = e−s N̂ t . For the O(N ) model in the large-N limit, this quantity can be computed exactly. Indeed, since the theory is effectively quadratic and the different k modes interact only through the renormalization of the mass r(t), we obtain G(s,t) = k Gk (s,t) ...
Quantum control of a Landau-quantized two
... element between the states |1$ and |2$. In this picture, cyclotron resonance is the destructive interference of the incident field E(0) and the reemitted field Eem , i.e., E(B) = E(0) + Eem . Thus, the B-induced oscillations [bottom traces in Fig. 1(b)] are the reemitted THz wave Eem = E(B) − E(0) d ...
... element between the states |1$ and |2$. In this picture, cyclotron resonance is the destructive interference of the incident field E(0) and the reemitted field Eem , i.e., E(B) = E(0) + Eem . Thus, the B-induced oscillations [bottom traces in Fig. 1(b)] are the reemitted THz wave Eem = E(B) − E(0) d ...
Quantum Physics and the Holy Grail BRIAN JOHN PICCOLO
... consciousness changes in time as well as the whole physical brain and universe. We are to learn from the physical world. It is our training ground. Use your time wisely. The goal is this, ...
... consciousness changes in time as well as the whole physical brain and universe. We are to learn from the physical world. It is our training ground. Use your time wisely. The goal is this, ...
Whole-Parts Strategies in Quantum Chemistry: Some Philosophical
... chemists actually do in their laboratories. Our approach does not consist in applying types of mereology – that is to say types of logic of propositional reasoning concerning relations between wholes and parts – or prior concepts of emergence to chemical activities but, in contrast, in identifying t ...
... chemists actually do in their laboratories. Our approach does not consist in applying types of mereology – that is to say types of logic of propositional reasoning concerning relations between wholes and parts – or prior concepts of emergence to chemical activities but, in contrast, in identifying t ...
Quantum telecommunication with atomic ensembles
... nents of the hyperfine ground levels. These two scattering processes are coherent, and the two orthogonal atomic excitations produced represent the basis states of a matter qubit. The above arguments assume that the atoms are initially prepared in a single Zeeman state m = 0 of hyperfine level g, wh ...
... nents of the hyperfine ground levels. These two scattering processes are coherent, and the two orthogonal atomic excitations produced represent the basis states of a matter qubit. The above arguments assume that the atoms are initially prepared in a single Zeeman state m = 0 of hyperfine level g, wh ...
Power-Law Entanglement Spectrum in Many-Body Localized
... made towards understanding the mechanisms of ergodicity and its breakdown in an isolated quantum many-body system. Currently, two generic classes of many-body systems are known: ergodic (thermal) systems and manybody localized (MBL) systems [1–4]. An ergodic system is one that acts as a heat bath fo ...
... made towards understanding the mechanisms of ergodicity and its breakdown in an isolated quantum many-body system. Currently, two generic classes of many-body systems are known: ergodic (thermal) systems and manybody localized (MBL) systems [1–4]. An ergodic system is one that acts as a heat bath fo ...
Born−Oppenheimer Time-Dependent Systems
... difficulties. Scanning through the published literature, one will notice that in many cases the NACTs are not as seriously considered as they should be. In contrast to the familiar vibrotational coupling terms which are well understood and usually handled correctly, the NACTs are kinds of physical m ...
... difficulties. Scanning through the published literature, one will notice that in many cases the NACTs are not as seriously considered as they should be. In contrast to the familiar vibrotational coupling terms which are well understood and usually handled correctly, the NACTs are kinds of physical m ...
Quantum Evolution installation and user manual
... hour back, there will be more than one recording at the same time. Such as during the October Daylight Saving Time changeover, if you try to search for video between 1 am and 2 am, the recorder may not operate properly because there will be two hours of recorded video during this time period. To vie ...
... hour back, there will be more than one recording at the same time. Such as during the October Daylight Saving Time changeover, if you try to search for video between 1 am and 2 am, the recorder may not operate properly because there will be two hours of recorded video during this time period. To vie ...
Computational Difficulty of Finding Matrix Product Ground States
... where O > 0 is the smallest nonzero eigenvalue of O, and the angle between the null spaces of P and Q. It follows that the lowest eigenvalue in an A 1, B 0 p subspace is at least T1 cos!01 1 T=T 1, and thus any subspace with A 1 has an energy 1=T 2 ab ...
... where O > 0 is the smallest nonzero eigenvalue of O, and the angle between the null spaces of P and Q. It follows that the lowest eigenvalue in an A 1, B 0 p subspace is at least T1 cos!01 1 T=T 1, and thus any subspace with A 1 has an energy 1=T 2 ab ...
Postprint
... mental data were obtained for IR field intensities significantly higher than those obtained with attosecond pulse trains [3]. Understandably, the questions related to the role of the probe IR field on the photoelectron dynamics in streaking measurements have motivated several theoretical studies [7 ...
... mental data were obtained for IR field intensities significantly higher than those obtained with attosecond pulse trains [3]. Understandably, the questions related to the role of the probe IR field on the photoelectron dynamics in streaking measurements have motivated several theoretical studies [7 ...
Appendix_A-Revised
... must be the same as the number of rows in the second, in which case they are conformable for multiplication.3 Multiplication of matrices is generally not commutative. In some cases, AB may exist, but BA may be undefined or, if it does exist, may have different dimensions. In general, however, even ...
... must be the same as the number of rows in the second, in which case they are conformable for multiplication.3 Multiplication of matrices is generally not commutative. In some cases, AB may exist, but BA may be undefined or, if it does exist, may have different dimensions. In general, however, even ...
lecture notes - Analysis Group TU Delft
... we will apply the spectral theorem to discuss Stone’s theorem, which characterizes strongly continuous one-parameter groups of unitary transformations of the Hilbert space. After a brief exposition of the main concepts of quantum mechanics formulated in the Hilbert space framework, we will use Stone ...
... we will apply the spectral theorem to discuss Stone’s theorem, which characterizes strongly continuous one-parameter groups of unitary transformations of the Hilbert space. After a brief exposition of the main concepts of quantum mechanics formulated in the Hilbert space framework, we will use Stone ...
Quantum Information with Fermionic Gaussian States - Max
... 2.2 Physical motivation In many areas of physics one has to has to face solving quantum many body problems, which is often a computationally difficult if not impossible task. It is also well known fact that under appropriate approximations complicated Hamiltonians with many-body interactions can be ...
... 2.2 Physical motivation In many areas of physics one has to has to face solving quantum many body problems, which is often a computationally difficult if not impossible task. It is also well known fact that under appropriate approximations complicated Hamiltonians with many-body interactions can be ...
General Green`s-function formalism for transport
... length. The magnetic materials considered are Co and Ni, with various nonmagnetic materials from the 3d, 4d, and 5d transition metal series. Realistic tight-binding models for them have been constructed with the use of density functional calculations. We have identified three qualitatively different ...
... length. The magnetic materials considered are Co and Ni, with various nonmagnetic materials from the 3d, 4d, and 5d transition metal series. Realistic tight-binding models for them have been constructed with the use of density functional calculations. We have identified three qualitatively different ...
Hexagonal Plaquette Spin-spin Interactions and Quantum
... quantum magnetism with emergent gauge fields [2, 4, 37] and may open up new directions in ion-based quantum simulators. By pinning multiple ions, more individual plaquette interactions can be engineered thus allowing for scaling up the quantum simulator. In the present paper, we discuss the minimal ...
... quantum magnetism with emergent gauge fields [2, 4, 37] and may open up new directions in ion-based quantum simulators. By pinning multiple ions, more individual plaquette interactions can be engineered thus allowing for scaling up the quantum simulator. In the present paper, we discuss the minimal ...