> For the complete documentation index, see [llms.txt](https://docs.quantaria.xyz/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://docs.quantaria.xyz/quantaria-overview.md).

# Quantaria Overview

Quantaria builds generative models in a different number format. Instead of dense weight matrices that are shrunk after training, every layer in a Quantaria model is a **tensor network** (a matrix product state or operator, MPS/MPO) from the first training step. The same format is used in physics to describe quantum states, which is what gives the models a direct path to quantum hardware.

{% hint style="info" %}
Quantaria is a research company. Hilbert-1 Nano and Base are live on the [Quantaria Console](/quantaria-console.md). All research figures in these docs come from published papers on the methods Quantaria combines, not from Quantaria's own models. Quantaria models train and run on GPUs today.
{% endhint %}

## The approach

| Idea                                  | What it means                                                                                                  | Basis                                                                                                               |
| ------------------------------------- | -------------------------------------------------------------------------------------------------------------- | ------------------------------------------------------------------------------------------------------------------- |
| Tensor-network weights from step zero | Every layer is an MPS/MPO, trained natively, never compressed from a dense model afterwards                    | [Tensor-Network Weights](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/tensor-network-weights.md) |
| Unified multimodal objective          | Next-token loss on text and diffusion loss on image patches over one set of shared tensor cores                | [arXiv:2408.11039](https://arxiv.org/abs/2408.11039)                                                                |
| Tensor Product Attention              | Queries, keys and values factorized from contextual activations; RoPE-compatible, with a much smaller KV cache | [arXiv:2501.06425](https://arxiv.org/abs/2501.06425)                                                                |
| MPO mixture-of-experts                | Experts share one central tensor and keep small expert-specific auxiliary tensors                              | [arXiv:2203.01104](https://arxiv.org/abs/2203.01104)                                                                |
| Rank-adaptive training                | Bond dimensions (χ) shrink or grow during training                                                             | [CoMERA, arXiv:2405.14377](https://arxiv.org/abs/2405.14377)                                                        |
| Schmidt-rank truncation               | Each bond keeps its dominant Schmidt coefficients, the operation that bounds entanglement in a quantum state   | [Tensor-Network Weights](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/tensor-network-weights.md) |
| Canonical-form gauging                | Cores kept as left/right isometries for numerically stable contraction                                         | [Tensor-Network Weights](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/tensor-network-weights.md) |

## Why tensor networks

A dense layer stores every entry of a large matrix. A tensor network stores a chain of small cores whose size is set by the bond dimension χ. Published work on tensor-train and related factorizations reports large parameter and memory reductions on the layers where they are applied. See [Research Foundations](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/research-foundations.md) for each result and its paper.

The same structure carries over to quantum computing. A bond of dimension χ carries at most log₂χ bits of entanglement entropy across its cut, and an MPS with bond dimension 2^k can be prepared by a circuit whose gates act on k+1 qubits. That makes tensor-network layers natural candidates for quantum hardware. See [Quantum Path](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/quantum-path.md).

## Principles

* **Matched baselines.** Every model is compared with a dense transformer of the same size on the same data.
* **Cited numbers.** Every research figure links to its paper.
* **Hardware-honest.** When a result came from a simulator, Quantaria says so. Quantum layers ship in production models only where real hardware supports them.
* **Results published either way.** Evaluation results are published whether or not they favour the tensor-network model.

## Where to go next

* [Models](/models.md) for the full model line-up and status
* [Getting Started](https://github.com/bhavy2908/dataai_docs/tree/main/guides/getting-started.md) to try Hilbert-1
* [Architecture](https://github.com/bhavy2908/dataai_docs/tree/main/architecture/tensor-network-weights.md) for the technical detail


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