Services

FOUR COMPUTATION TYPES. ONE API.

KLT profiles the entanglement structure of each problem — quantified as a per-site von Neumann entropy map — and selects between exact statevector, tensor-network, and cluster solvers based on that profile. Problems with bounded, structured entanglement are solved in polynomial time; the entropy map tells you which regime your problem is in, and is returned as a first-class output alongside every result.

QUANTUM CIRCUIT SIMULATION

6 simulation modes: exact statevector, compressed, tensor, hamiltonian, gaussian, and auto. Accepts OpenQASM 3 and is compatible with Qiskit and Cirq. Standard gate set: H, CNOT, RZ, RX, CX, T, S, Toffoli, and custom unitary gates. Scales to hundreds of qubits on standard hardware.

SPIN GROUND STATES

Compute ground-state energies and entanglement entropy maps for N-site Ising, Heisenberg, and XY models. Returns the full entanglement structure across all bipartitions.

PHOTONIC AMPLITUDES

Hafnian, permanent, and Gaussian boson sampling amplitudes via high-precision arithmetic. Efficient algorithms for structured and low-mode photonic networks.

MOLECULAR ORBITALS

HOMO/LUMO energies and frontier orbital coefficients from a SMILES string via quantum-chemical methods (DFT). Returns frontier orbital energies in eV — classical computation, no quantum hardware needed.

Features

WHAT MAKES QUMULATOR DIFFERENT

A single, unified platform for every major class of quantum computation — no hardware, no cryogenics, no proprietary SDKs required.

Entanglement Entropy Maps

Every computation type returns a full entanglement entropy map across all bipartitions — not just a scalar result. Identify entanglement structure at a glance.

6 Simulation Modes

Choose from auto, exact (statevector, ≤25 q), compressed, tensor, hamiltonian, and gaussian — switchable with a single parameter. One API contract, tunable precision and memory trade-offs.

OpenQASM 3 & Qiskit/Cirq

Submit circuits as OpenQASM 3 strings or use the SDK wrappers for Qiskit and Cirq. No lock-in — bring your existing quantum programs.

Sub-Exponential Scaling

The KLT Engine exploits entanglement structure to achieve sub-exponential scaling in the low-entanglement regime — where exact brute-force methods run out of memory.

Single Unified API

Circuits, spin models, photonic networks, and molecules all share one endpoint schema. Build once, extend to every computation type.

Runs on Standard Cloud Hardware

No cryogenic infrastructure. No proprietary QPUs. Qumulator runs on standard CPU cloud instances (4 vCPU / 8 GB RAM) — no GPU required. A fraction of the cost of physical quantum hardware.

Simulation Capabilities

WHAT THE ENGINE CAN HANDLE — AND WHY

The bottleneck in quantum simulation is not qubit count — it is entanglement depth. In KLT MPS mode, depth d determines bond dimension χ = 2d, which determines memory. At depth 3, even a 1,000-qubit circuit uses under 1 MB. At depth 20, a 20-qubit circuit uses 335 MB. Both are exact. Both are fast.

TIER 1
1 – 20
Qubits

Up to 20 layers

χ ≤ 1024 — 335 MB peak

Exact result for structured circuits. Full-depth VQE, QAOA, and variational ansätze.

TIER 2
21 – 54
Qubits

Up to 6 layers

χ = 64 — 3.5 MB peak

Exact result. 26 = 64 bond dim captures full entanglement at this depth.

TIER 3
55 – 105
Qubits

Up to 5 layers

χ = 32 — 1.7 MB peak

Exact result. Covers Willow-scale (105 q) and similar near-term superconducting layouts.

TIER 4
106 – 1000
Qubits

Up to 3 layers

χ = 8 — < 1 MB peak

Exact result. A 1000-qubit circuit at depth 3 uses less memory than a JPEG file.

Statevector mode supports up to 25 qubits at any depth (memory = 2N × 16 bytes; depth is irrelevant). Requests exceeding any tier limit return HTTP 422 with a self-documenting error.

Benchmarks

VERIFIED PERFORMANCE — NUMBERS YOU CAN REPRODUCE

All numbers below are reproducible. Run any benchmark yourself using the free API — no account, no hardware, no setup required. Click any card for the exact circuit code and a step-by-step reproduction guide.

Tier 1 — Exact Statevector
42.3 s
20 Qubits  ·  Depth 20

4×5 grid, tier 1 maximum. All 220 = 1M amplitudes tracked exactly. Mean entropy 0.937 bits/qubit — fully scrambled. No GPU, no quantum hardware.
Tier 2 — KLT MPS
58.2 s
54 Qubits  ·  Depth 6

6×9 grid, tier 2 maximum. MPS (χ=16), 2,048 distinct outcomes from 2,048 shots. Mean entropy 0.960 bits/qubit. CPU-only.
Tier 3 — KLT MPS
85.6 s
105 Qubits  ·  Depth 5

7×15 grid (Willow-scale), tier 3 maximum. MPS (χ=16), 2,048 distinct outcomes. Hilbert space has 2105 ≈ 1031 dimensions. CPU-only.
Tier 4 — KLT MPS
1,000 Q
Zero Trunc Error  ·  113 s

25×40 grid, depth 3, tier 4 maximum. MPS (χ=16) — exact simulation, zero truncation error. 2,048 distinct outcomes. No GPU required.
Quantum Chemistry — KLT Solver
1.15 mHa
Error — LiH Ground State

KLT ground-state energy for LiH (STO-3G, CASCI(2,2)): −7.88111 Ha vs FCI −7.88226 Ha. Error = 1.15 mHa, well within the 2 mHa chemical accuracy threshold.
Photonic Amplitudes — Hafnian Engine
1.5 s
16×16 Complex Matrix · 34-digit precision

KLT coarse-to-fine hafnian for an 8-mode Gaussian boson sampling instance: Re(haf) = 7.4023, Im(haf) = −0.9097, |haf| = 7.458. Computed on CPU in 1.537 s.
FREE — NO SIGN-UP REQUIRED

How It Works

GET RUNNING IN MINUTES — NO HARDWARE, NO SETUP.

1
Get Your API Key

One request, one key — instantly. No account, no email, no waiting. The key is returned once; save it somewhere safe.

curl -s -X POST https://api.qumulator.com/keys \
  -H "Content-Type: application/json" \
  -d '{"name": "my-key"}' | jq .key
2
Install & Initialize

Install the Python SDK and initialize the client with your key. Works in any Python environment — scripts, notebooks, or pipelines.

pip install qumulator-sdk

from qumulator import QumulatorClient
client = QumulatorClient(
  api_key="qk_live_..."
)
3
Submit a Job

Choose an engine and submit your circuit or model. The API returns a job ID immediately — your simulation runs asynchronously in the cloud.

job = client.circuit.run(
  qasm=my_program,
  engine="mps"
)
print(job.id)  # "job_a3f9..."
4
Fetch Results

Poll for completion using your job ID. Every result includes probabilities, entanglement entropy maps, and engine-specific diagnostics.

result = client.jobs.get(job.id)
result.counts        # shot counts
result.entropy_map   # bipartition entropy
result.statevector   # full amplitudes
Available Engines
Quantum Circuits

OpenQASM 3, Qiskit, Cirq. Statevector, density matrix, MPS, and 6 more simulation modes. Scales to hundreds of qubits.

Spin Ground States

Ising, Heisenberg, and XY models. Ground-state energies and full entanglement entropy maps across all bipartitions.

Photonic Amplitudes

Hafnian, permanent, and Gaussian boson sampling amplitudes via high-precision arithmetic. Efficient algorithms for structured Gaussian boson sampling instances.

Molecular Orbitals

HOMO/LUMO frontier orbital energies from a SMILES string via DFT. eV-accurate results on standard cloud — no quantum hardware needed.

Majorana / Topological NEW

Kitaev chain topological invariants, Majorana zero mode localization, phase diagrams, and effective gate error rates for topological hardware.

Vortex / RCS NEW

KLT Vortex certificate, XEB quantum advantage threshold analysis, and analytical comparison of topological vs. conventional hardware.

FREE — NO ACCOUNT NEEDED

No credit card. No hardware. No sign-up.

Get an API key in seconds and start running circuits and notebooks immediately. All six engines are available, including the new Majorana and Vortex capabilities.

Get Started Free

Get in Touch

QUESTIONS, PARTNERSHIPS, OR EARLY ACCESS — WE’D LOVE TO HEAR FROM YOU.

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LOCATION

Virginia, United States

EMAIL
info@qumulator.com