Crate tensor4all_itensorlike 

tensor4all-itensorlike

ITensors.jl-inspired TensorTrain API with orthogonality tracking and multiple canonical forms.

Key Types

• TensorTrain — tensor train with orthogonality center tracking
• orthogonalize() — move orthogonality center to a given site
• truncate() — SVD-based bond dimension truncation
• inner() — inner product <self|other> with complex conjugation on self
• norm() — efficient norm via the orthogonality center

Example

use tensor4all_core::{DynIndex, TensorDynLen};
use tensor4all_itensorlike::{TensorTrain, TruncateOptions};

// Build a 3-site tensor train
let s0 = DynIndex::new_dyn(2);
let s1 = DynIndex::new_dyn(2);
let s2 = DynIndex::new_dyn(2);
let b01 = DynIndex::new_bond(2)?;
let b12 = DynIndex::new_bond(2)?;

let t0 = TensorDynLen::from_dense(vec![s0, b01.clone()], vec![1.0, 0.0, 0.0, 1.0])?;
let t1 = TensorDynLen::from_dense(vec![b01, s1, b12.clone()], vec![1.0; 8])?;
let t2 = TensorDynLen::from_dense(vec![b12, s2], vec![1.0, 0.0, 0.0, 1.0])?;

let mut tt = TensorTrain::new(vec![t0, t1, t2])?;
tt.orthogonalize(1)?;
tt.truncate(&TruncateOptions::svd().with_svd_policy(tensor4all_core::SvdTruncationPolicy::new(1e-10)).with_max_rank(2))?;

assert!(tt.isortho());
let norm = tt.norm();
assert!(norm.is_finite());

// Inner product: <tt|tt> = norm^2
let inner = tt.inner(&tt);
assert!((inner.real() - norm * norm).abs() < 1e-10);

Documentation

• User Guide: Tensor Train
• API Reference

Re-exports

pub use contract::contract;

pub use error::Result;

pub use error::TensorTrainError;

pub use linsolve::linsolve;

pub use options::ContractMethod;

pub use options::ContractOptions;

pub use options::LinsolveOptions;

pub use options::TruncateOptions;

pub use tensortrain::TensorTrain;

Modules

contract

Contraction operations for tensor trains.

error

Error types for TensorTrain operations.

linsolve

Linear equation solver for tensor trains.

options

Configuration options for tensor train operations.

tensortrain

Main Tensor Train type as a wrapper around TreeTN.

Enums

CanonicalForm

Canonical form for tensor train / tree tensor network.

Type Aliases

MPO

Type alias for Matrix Product Operator (MPO).

MPS

Type alias for Matrix Product State (MPS).