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In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. This was first discussed as a general stochastic transformation for a density matrix by George Sudarshan. The quantum operation formalism describes not only unitary time evolution or symmetry transformations of isolated systems, but also the effects of measurement and transient interactions with an environment. In the context of quantum computation, a quantum operation is called a quantum channel.

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  • العملية الكمية في ميكانيكا الكم كل صيغة رياضية تستعمل لوصف فئة من التحولات التي يجوز أن تقع لنظام ميكانيكي كمي. (ar)
  • In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. This was first discussed as a general stochastic transformation for a density matrix by George Sudarshan. The quantum operation formalism describes not only unitary time evolution or symmetry transformations of isolated systems, but also the effects of measurement and transient interactions with an environment. In the context of quantum computation, a quantum operation is called a quantum channel. Note that some authors use the term "quantum operation" to refer specifically to completely positive (CP) and non-trace-increasing maps on the space of density matrices, and the term "quantum channel" to refer to the subset of those that are strictly trace-preserving. Quantum operations are formulated in terms of the density operator description of a quantum mechanical system. Rigorously, a quantum operation is a linear, completely positive map from the set of density operators into itself. In the context of quantum information, one often imposes the further restriction that a quantum operation must be physical, that is, satisfy for any state . Some quantum processes cannot be captured within the quantum operation formalism; in principle, the density matrix of a quantum system can undergo completely arbitrary time evolution. Quantum operations are generalized by quantum instruments, which capture the classical information obtained during measurements, in addition to the quantum information. (en)
  • Na mecânica quântica, uma operação quântica (também conhecida como mapa dinâmico quântico) é um formalismo matemático usado para descrever uma ampla classe de transformações pelas quais um sistema mecânico quântico pode sofrer. Isso foi discutido pela primeira vez como uma transformação estocástica geral para uma matriz de densidade por George Sudarshan. (pt)
  • 量子操作(又称量子动态映射或量子过程)是对量子系统所能经历的一系列变换的数学表述。这一概念是由在讨论密度矩阵的广义随机变换时首度引入。量子操作的表述需要系统采用密度矩阵描述。严格而言,量子操作是一个密度算符集到其自身的线性完全正映射。在量子运算领域,量子操作通常称作。“量子操作”有时会被一些学者用来描述密度矩阵空间的或非迹增映射,而“量子通道”则特指其中严格的保迹映射。量子操作不仅仅涉及孤立系统的时间演化及对称变换,同时还涉及测量效应以及系统与环境间的暂态相互作用。 量子系统所能经历的一些过程并不能用量子操作描述。原则上,量子系统的密度矩阵可以经过任意的时间演化。量子操作可以通过“”这一概念进行推广。量子仪器可以捕捉测量过程中量子信息外的经典信息。 (zh)
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  • The effect of the passage of t units of time on the state of an isolated system S is given by a unitary operator U't on the Hilbert space H associated to S'''. (en)
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  • العملية الكمية في ميكانيكا الكم كل صيغة رياضية تستعمل لوصف فئة من التحولات التي يجوز أن تقع لنظام ميكانيكي كمي. (ar)
  • Na mecânica quântica, uma operação quântica (também conhecida como mapa dinâmico quântico) é um formalismo matemático usado para descrever uma ampla classe de transformações pelas quais um sistema mecânico quântico pode sofrer. Isso foi discutido pela primeira vez como uma transformação estocástica geral para uma matriz de densidade por George Sudarshan. (pt)
  • 量子操作(又称量子动态映射或量子过程)是对量子系统所能经历的一系列变换的数学表述。这一概念是由在讨论密度矩阵的广义随机变换时首度引入。量子操作的表述需要系统采用密度矩阵描述。严格而言,量子操作是一个密度算符集到其自身的线性完全正映射。在量子运算领域,量子操作通常称作。“量子操作”有时会被一些学者用来描述密度矩阵空间的或非迹增映射,而“量子通道”则特指其中严格的保迹映射。量子操作不仅仅涉及孤立系统的时间演化及对称变换,同时还涉及测量效应以及系统与环境间的暂态相互作用。 量子系统所能经历的一些过程并不能用量子操作描述。原则上,量子系统的密度矩阵可以经过任意的时间演化。量子操作可以通过“”这一概念进行推广。量子仪器可以捕捉测量过程中量子信息外的经典信息。 (zh)
  • In quantum mechanics, a quantum operation (also known as quantum dynamical map or quantum process) is a mathematical formalism used to describe a broad class of transformations that a quantum mechanical system can undergo. This was first discussed as a general stochastic transformation for a density matrix by George Sudarshan. The quantum operation formalism describes not only unitary time evolution or symmetry transformations of isolated systems, but also the effects of measurement and transient interactions with an environment. In the context of quantum computation, a quantum operation is called a quantum channel. (en)
rdfs:label
  • عملية كمية (ar)
  • Quantum operation (en)
  • Operação quântica (pt)
  • 量子操作 (zh)
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