Dephasing
Dephasing is a concept primarily encountered in quantum mechanics and quantum information theory, as well as in classical wave physics. It refers to the process in which a coherent quantum state loses its relative phase information due to interactions with the environment or other systems. In quantum mechanics, particles such as electrons and photons can exist in superposition states, meaning they can simultaneously occupy multiple states. Coherence is crucial for maintaining these superpositions.
The Deferred Measurement Principle, commonly referred to in accounting and finance, relates to how certain items are recognized and measured in financial statements. Specifically, it addresses the timing of when revenues and expenses are recognized, distinguishing between cash accounting and the accrual basis of accounting. Under the Deferred Measurement Principle: 1. **Revenue Recognition**: Revenues are recognized when they are earned, not necessarily when cash is received.
Decoherence-free subspaces (DFS) are specific states or subspaces in a quantum system that are immune to certain types of environmental noise, particularly noise associated with decoherence. Decoherence refers to the process by which quantum systems lose their coherent superpositions due to interactions with their environment, leading to the classical behavior that we observe. This is a significant problem in quantum computing and quantum information science, where maintaining coherence is essential for the functionality of quantum bits (qubits).
D-Wave Two
D-Wave Two is a quantum computer developed by D-Wave Systems, Inc. It was introduced in 2013 as an improvement over its predecessor, the D-Wave One. The D-Wave Two system implements quantum annealing, a specific type of quantum computing that leverages quantum mechanics to solve optimization problems.
Counterfactual quantum computation is a fascinating concept that utilizes the principles of quantum mechanics to perform computations in a way that seemingly allows for the computation to occur without actually executing the typical physical operations associated with it. The term "counterfactual" refers to the idea of reasoning about what could have happened under different circumstances, and in this context, it involves analyzing quantum states and their interactions in a manner that does not require the actual execution of all the steps involved in a computation.
A Controlled NOT gate, commonly referred to as a CNOT gate or CX gate, is an essential component in quantum computing. It is a two-qubit gate that performs a NOT operation (also known as a bit-flip) on a target qubit only when a control qubit is in the state \(|1\rangle\).
Continuous-variable (CV) quantum information refers to a framework in quantum information theory that utilizes continuous variables for encoding, processing, and transmitting quantum information. Unlike discrete variable systems, such as qubits, which can take on specific values (0 or 1), continuous-variable systems use quantities that can vary smoothly over a continuum. The most common examples of continuous variables are the position and momentum of a particle, as well as the quadratures of an electromagnetic field, such as the electric field amplitude.
A continuous-time quantum walk (CTQW) is a quantum analog of the classical random walk, in which a quantum particle moves on a graph or a more general space in a continuous-time manner. Unlike classical random walks that move discretely from one vertex to another at fixed time intervals, a continuous-time quantum walk evolves according to the rules of quantum mechanics, typically governed by the Schrödinger equation.
A **cluster state** is a specific type of quantum state used in quantum computing and quantum information theory. It is a well-known example of a multipartite entangled state that can be utilized for various quantum computing tasks, such as measurement-based quantum computation.
A classical information channel is a conceptual framework used in information theory to describe the transmission of classical information from one point to another. It is characterized by the following key components: 1. **Input and Output**: A classical information channel takes an input (a message or signal) that is to be transmitted and produces an output (the received message or signal). 2. **Noise**: During transmission, the signal can be affected by noise, which can introduce errors or distortions in the received signal.
Circuit quantum electrodynamics (cQED) is a field of research that explores the interaction between light (typically microwave photons) and artificial atoms, such as superconducting qubits, within a controlled environment. It is a hybrid approach that combines elements of quantum optics and condensed matter physics, enabling the study of quantum phenomena in a circuit-based framework.
A charge qubit is a type of quantum bit (qubit) that uses the discrete charge states of a quantum system to represent quantum information. Specifically, it typically relies on the charging energy and superconducting or semiconductor systems to create a quantum superposition of charge states.
The Centre for Quantum Technologies (CQT) is a research institute that focuses on the study and development of quantum technologies. Based in Singapore, CQT is part of the National University of Singapore (NUS) and was established in 2007. Its mission includes advancing the scientific understanding of quantum mechanics and its applications, promoting interdisciplinary research, and supporting the development of quantum technologies, such as quantum computing, quantum communication, and quantum sensing.
The Centre for Nanoscience and Quantum Information (NQIQS) is an interdisciplinary research facility that typically focuses on the fields of nanotechnology, quantum science, and their applications. While the specific details can vary by institution, such centers often involve the study of nanoscale materials and devices, quantum computing, quantum communication, and related technologies.
The Center for Quantum Information Science & Technology (CQIST) is typically an interdisciplinary research center focused on advancing the field of quantum information science and technology. Although specific details may vary depending on the institution, such centers generally engage in a range of activities related to quantum computing, quantum communication, quantum cryptography, and related areas. Key activities and goals of such centers may include: 1. **Research and Development**: Conduct cutting-edge research in quantum algorithms, quantum hardware, and applications of quantum technology.
Cavity quantum electrodynamics (cavity QED) is a field of physics that studies the interactions between light (photons) and matter (typically atoms or quantum dots) confined in a small cavity or resonator. The essential idea is to control and enhance the interaction between light and matter by using a cavity, which can trap photons and force them to interact more strongly with the quantum systems placed inside.
Cat state
A "cat state" typically refers to a concept from quantum mechanics, most famously illustrated by Erwin Schrödinger in his thought experiment known as "Schrödinger's cat." In this thought experiment, a cat is placed in a sealed box with a radioactive atom, a Geiger counter, a vial of poison, and a hammer. If the atom decays, the Geiger counter triggers the hammer to break the vial, releasing the poison and killing the cat.
The Bures metric is a distance measure that is used in the context of quantum information theory and differentiates quantum states. It is derived from the Fubini-Study metric, which is a Riemannian metric on the complex projective space. The Bures metric quantifies how "far apart" two quantum states are in terms of their purity and distinguishability.
Bound entanglement is a form of quantum entanglement that exists in a system, where the entangled states cannot be distilled into a pure entangled state through local operations and classical communication (LOCC). This concept is important in the study of quantum information theory, particularly in understanding the nature of entanglement and its implications for quantum communication and computation.
Bell state
A Bell state is a specific type of quantum state that represents maximal entanglement between two qubits. There are four Bell states, and they form the basis of the two-qubit quantum system. The four Bell states are: 1. \(|\Phi^+\rangle = \frac{1}{\sqrt{2}} (|00\rangle + |11\rangle)\) 2.