未知の量子状態を削除できない
1Quantum Optics and Information Group, Informatics, University of Wales, UK. akpati@sees.bangor.ac.uk
Nature
|February 7, 2001
まとめ
量子情報は完全に,あるいは不可逆的に消去することはできません. 古典的なコンピュータとは異なり,量子システムは任意の量子状態のコピーを削除することを防止し,量子計算アプリケーションに影響を与えます.
科学分野:
- 量子情報科学とは,量子情報科学である.
- 量子コンピューティング
- 量子物理学とは,量子物理学のことです.
背景:
- ノークローニング定理は,任意の量子状態の完全なクローニングは不可能であると述べています.
- 量子情報の削除の可能性は,保存された情報を上書きするなど,量子コンピューティングの潜在的なアプリケーションに不可欠です.
研究 の 目的:
- 量子情報,特に光子の偏極化状態が削除できるかどうかを調査する.
- 2つの同一の未知の量子状態を,元の未知のタイプの1つの状態と標準状態の1つの状態に変換するメカニズムが存在するかどうかを判断する.
主な方法:
- 量子力学の線性に基づいた理論的分析.
- 標準的な空白状態を作成することによって量子情報を削除する仮説的なプロセスの探求.
主要な成果:
- 量子理論の線性性は,任意の量子状態の完全な削除を根本的に禁止しています.
- 量子情報を消去する不可逆的なプロセスは,古典的な情報の消去に類似しており,量子力学では不可能です.
結論:
- 量子情報を完全に削除できないことは,量子計算に重大な制約を課しています.
- 古典的な情報とは異なり,量子情報は,量子理論の固有の原理により,取り消すことはできません.
関連する概念動画
The Uncertainty Principle
25.6K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
25.6K
The Quantum-Mechanical Model of an Atom
47.1K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing...
47.1K
The Pauli Exclusion Principle
51.7K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
51.7K
Third Law of Thermodynamics
17.0K
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
17.0K
Deactivation Processes: Jablonski Diagram
2.3K
Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...
2.3K
The Entropy as a State Function
134
Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
134


