Linear optical quantum computing

Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation, allowing (under certain conditions, described below) universal quantum computation.

Version

v1 · 2026-09-28 · History

Domain-specific #

10419

Domain group

Natural Sciences

Origin domain

Physics

Subdomains

Quantum Information, Quantum Optics → Physics

Core Idea

Linear optical quantum computing is treated here as the recurring mathematicslogicstatistics identity summarized by this source-grounded definition: Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation, allowing (under certain conditions, described below) universal quantum computation. Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation, allowing (under certain conditions, described below) universal quantum computation.

Scope of Application

• Overview. In optical systems for quantum information processing, the unit of light in a given mode—or photon—is used to represent a qubit.

• Overview. This potentially causes a scalability problem for LOQC, since nonlinear operations are hard to implement, which can increase the complexity of operators and hence can increase the resources required to realize.

• Using integrated photonic circuits. To make LOQC functional, useful and compact, one solution is to miniaturize all linear optical elements, photon sources and photon detectors, and to integrate them onto a chip.

• Using integrated photonic circuits. To separate modes, there have been integrated arrayed waveguide grating (AWG) which are commonly used as optical (de)multiplexers in wavelength division multiplexed (WDM).

• Using integrated photonic circuits. Photonic integrated circuits have also been used in combination with single photon source and detection components such as Quantum Dots and SNSPDs to create non-universal quantum computing systems with demonstrable results.

Clarity

A clear use of Linear optical quantum computing names the carrier, the operative relation, and the conditions under which the source treats the identity as present. The minimal definition is Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation, allowing (under certain conditions, described below) universal quantum computation.

Manages Complexity

Linear optical quantum computing compresses multiple mathematicslogicstatistics details into a stable diagnostic relation. The source shows both the central mechanism—in optical systems for quantum information processing, the unit of light in a given mode—or photon—is used to represent a qubit.—and the practical consequence—as a result, LOQC can be robustly implemented through the KLM scheme with a low enough resource requirement to suggest practical scalability, making.

Abstract Reasoning

1. Type the carrier. Identify the mathematicslogicstatistics entities to which the claim applies.
2. State the relation. Use the source-grounded identity: Linear optical quantum computing or linear optics quantum computation (LOQC), also photonic quantum computing (PQC), is a paradigm of quantum computation, allowing (under certain conditions, described below) universal quantum computation.
3. Check operation and conditions. Up to N\times N unitary matrix operations ( U(N) ) can be realized by only using mirrors, beam splitters and phase shifters (this is also a starting point of boson sampling and.

Knowledge Transfer

Within the home domain. Knowledge about Linear optical quantum computing transfers literally when a new case preserves the same carrier type, relation, and recognition test. In optical systems for quantum information processing, the unit of light in a given mode—or photon—is used to represent a qubit. This potentially causes a scalability problem for LOQC, since nonlinear operations are hard to implement, which can increase the complexity of operators and hence can increase the resources required.

Relationships to Other Abstractions

Current abstraction Linear optical quantum computing Domain-specific

Parents (1) — more general patterns this builds on

• Linear optical quantum computing is a kind of Quantum-Computation Model Domain-specific

  Linear optical quantum computing satisfies the defining boundary of Quantum-Computation Model: A quantum-computation model is a formal specification of quantum information carriers, admissible initial states, operations, spatial or circuit organization, resource bounds, noise assumptions, and measurement rules used to define computations and compare computational power.

Hierarchy path (1) — routes to 1 parentless root

• Linear optical quantum computing → Quantum-Computation Model → Representation → Abstraction

Neighborhood in Abstraction Space

Linear optical quantum computing sits in a moderately populated region (56^th percentile for distinctiveness): it has near-neighbors but no dense thicket of look-alikes.

Family — Quantum States & Information Measures (25 abstractions)

Nearest neighbors

• One-way quantum computer — 0.86
• Optical neural network — 0.86
• Quantum Random-Access Code — 0.85
• Observable — 0.85
• Quantum Fisher information — 0.85

Computed from structural-signature embeddings · 2026-10-08