cpx-coords

To power the rust-quantum project, this library provides a robust Cpx type, specifically optimized for the intensive complex number multiplications required for quantum gate applications and tensor product operations. It supports various coordinate representations to maximize performance.

Usage

Add the following to your Cargo.toml (to the latest version):

[dependencies]
cpx-coords = "0.1.5"

Features

• Multiple Coordinate Representations: To optimize performance, particularly for multiplication, this library supports logarithmic coordinates. Multiplication in logarithmic form reduces to addition, which is faster than Cartesian multiplication. Additionally, common-case optimizations further improve time complexity.
• Precision: Uses f32 or f64 for floating-point precision.
• It can be a key of BTreeMap, HashMap and so on. Sometimes, we want to represent a superposition state as a map of (separable_state,cpx_value). Here, a separable_state use CpxKey can be treated as a key of the desired map.

Future direction of development

A complex-number analog of IEEE standard of floating numbers is designing. Consider there is one sign bit, a few exp bits, and a few significant bits for a real floating number. We want to interpret the sign bit as a special case of phase bits, while the remaining exp bits and significant bits describe the radius. In this interpretation, we may save a few bits for a complex number in polar coordinate.

License

This project is licensed under either of

• MIT license
• Apache License, Version 2.0

at your option.

Contributions

Unless you explicitly state otherwise, any contribution intentionally submitted for inclusion in this project by you shall be licensed as above, without any additional terms or conditions.