View source for Quantum Entanglement and Quantum Computing

== Introduction ==

Quantum entanglement and quantum computing are two interrelated concepts in the field of quantum physics. Quantum entanglement refers to a physical phenomenon where two or more particles become linked and the state of one particle can instantaneously affect the state of the other, no matter the distance between them. This phenomenon is one of the fundamental principles that underpin the operation of quantum computers.

Quantum computing, on the other hand, is a type of computation that utilizes quantum bits, or qubits, instead of the traditional binary bits used in classical computing. Qubits, due to their quantum nature, can exist in a superposition of states, allowing quantum computers to process a vast number of computations simultaneously. This gives quantum computers the potential to solve certain problems much more efficiently than classical computers.

[[Image:Detail-39687.jpg|thumb|center|A pair of entangled quantum particles|class=only_on_mobile]]
[[Image:Detail-39688.jpg|thumb|center|A pair of entangled quantum particles|class=only_on_desktop]]

== Quantum Entanglement ==

Quantum entanglement is a phenomenon that occurs when pairs or groups of particles interact in ways such that the quantum state of each particle cannot be described independently of the state of the others, even when the particles are separated by a large distance. This phenomenon was first described in a 1935 paper by Albert Einstein, Boris Podolsky, and Nathan Rosen, known as the [[EPR Paradox|EPR paradox]], challenging the completeness of quantum mechanics.

The concept of quantum entanglement is fundamental to the field of quantum information science, which includes quantum computing, quantum cryptography, and quantum teleportation. It is also a key resource in quantum communication protocols, such as quantum key distribution and superdense coding.

=== Principles of Quantum Entanglement ===

Quantum entanglement occurs when two or more particles become entangled, meaning that the state of one particle is directly related to the state of the other, no matter how far apart they are. This relationship holds even if the particles are separated by vast distances, such as across the universe. This phenomenon, which Albert Einstein famously called "spooky action at a distance," is one of the most intriguing aspects of quantum mechanics.

The entanglement of quantum states is a result of the superposition principle in quantum mechanics. Superposition allows quantum systems to exist in multiple states at once, until a measurement is made, causing the system to collapse into one of the possible states.

=== Applications of Quantum Entanglement ===

Quantum entanglement has several applications in the field of quantum information science. It is used in quantum computing to create entangled states of qubits, which can then be used to perform quantum computations. Quantum entanglement is also used in quantum cryptography for secure communication, as it allows the creation of a secret key that can be used to encrypt and decrypt messages.

In addition, quantum entanglement is used in quantum teleportation, a process by which the state of a quantum system can be transferred from one location to another, without the physical transportation of the system itself. This process relies on the entanglement of the quantum states of the system and an ancillary system that is used to transmit the state information.

== Quantum Computing ==

Quantum computing is a field of study focused on the development of computer based technologies centered around the principles of quantum theory. Quantum theory explains the nature and behavior of energy and matter on the quantum (atomic and subatomic) level. Quantum computing uses the quantum states of particles to represent and manipulate information.

Quantum computers use qubits to perform calculations. A qubit is a quantum version of a classical binary bit. While a classical bit can be in one of two states (0 or 1), a qubit can be in a superposition of states, meaning it can be in both states at once. This property, along with entanglement, gives quantum computers their inherent parallelism, allowing them to solve certain problems much more efficiently than classical computers.

=== Principles of Quantum Computing ===

The principles of quantum computing are based on the principles of quantum mechanics, including superposition and entanglement. Superposition allows quantum computers to work on many calculations at once, while entanglement allows them to coordinate their work.

Quantum computers use quantum gates to perform operations on qubits. These gates are analogous to the logic gates used in classical computing, but they operate on qubits instead of bits. Quantum gates are reversible and can transform the state of a qubit in a deterministic way.

=== Applications of Quantum Computing ===

Quantum computing has the potential to revolutionize many fields, including cryptography, optimization, and drug discovery. In cryptography, quantum computers could potentially break many of the encryption algorithms currently in use, leading to the need for new, quantum-resistant algorithms.

In optimization, quantum computers could potentially solve problems that are currently intractable for classical computers, such as the traveling salesman problem and other NP-hard problems. In drug discovery, quantum computers could potentially model complex molecular interactions at an unprecedented level of detail, leading to the discovery of new drugs and treatments.

== See Also ==

* [[Quantum Mechanics]]
* [[Quantum Cryptography]]
* [[Quantum Teleportation]]

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[[Category:Quantum Computing]]
[[Category:Quantum Information Science]]
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