By name: deterministic-cat-state-generation description: "Deterministic generation of large cat states (100+ photons) using dynamical invariants of hybrid qubit-bosonic systems under time-dependent Hamiltonians. Universal quantum control theory for quantum metrology and fault-tolerant computation. arXiv:2606.03293." metadata: arxiv_id: "2606.03293" category: "quant-ph" published: "2026-06-02"
Deterministic Generation of Cat States with More Than 100 Photons Under Dissipation
arXiv: 2606.03293 (June 2026)
Problem
Large-size cat states are fundamental for exploring quantum-to-classical transitions and are promising resources for quantum metrology and fault-tolerant quantum computation. However, amplifying cat state magnitude is challenging due to growing fragility under decoherence.
Solution
Dynamical Invariant-Based Control:
- Uses dynamical invariants of hybrid qubit-bosonic systems
- Works under both Hermitian and non-Hermitian time-dependent Hamiltonians
- Applies Universal Quantum Control (UQC) theory for system dynamics analysis
- Deterministic generation (not probabilistic or post-selected)
Key Results
- Scale: Cat states with 100+ photons
- Method: Dynamical invariant engineering under time-dependent control
- Robustness: Operates under dissipation (decoherence present)
- Framework: Universal Quantum Control theory applies to broad class of systems
Reusable Patterns
Pattern 1: Dynamical Invariant Engineering
Use dynamical invariants to steer quantum systems to desired states:
- Identify target state (e.g., cat state of size α)
- Construct dynamical invariant that has target state as eigenstate
- Design time-dependent Hamiltonian that preserves the invariant
- System evolves deterministically to target regardless of initial state
Pattern 2: Hybrid Qubit-Bosonic Control
Leverage hybrid systems combining discrete (qubit) and continuous (bosonic) variables:
- Qubit provides discrete control degrees of freedom
- Bosonic mode provides large Hilbert space for encoding
- Coupling enables deterministic state preparation in bosonic subspace
Pattern 3: Non-Hermitian Quantum Control
Exploit non-Hermitian Hamiltonians for enhanced control:
- Dissipation can be engineered as a resource, not just a nuisance
- Non-Hermitian dynamics enable faster state preparation
- Effective for large-state generation where Hermitian-only approaches are too slow
Applications
- Quantum metrology: Large cat states for Heisenberg-limited sensing
- Fault-tolerant QC: Cat states as logical qubits in bosonic QEC codes
- Quantum-to-classical transition: Study decoherence at macroscopic scales
- Universal QC: Cat states as resources for universal gate sets
Activation
cat states, bosonic codes, dynamical invariants, universal quantum control, quantum metrology, fault-tolerant quantum computation, hybrid qubit-bosonic, non-Hermitian Hamiltonian, deterministic state preparation
Related Skills
quantum-control-engineering- Quantum control patternsbosonic-grid-states-qec- Bosonic QEC codesuniversal-robust-quantum-control- Noise-agnostic quantum control