Exact & formalBasic circuitsStateBell / entanglement2 q
Bell state measurement
A two-qubit entanglement example with a return contract and distribution check.
Every quantum algorithm worth knowing about, written down the same way: what it takes, what it returns, what it costs, and who proved it.
The Map draws our corpus as one connected structure: Open the Map
Every source behind both surfaces: See the papers
A speedup class on a record is quoted: See whose claim it is
Every record is classified by how it was verified. The badge shows the strongest tier of evidence; the chips list each method that applies.
The defining behavior was checked exactly: a mathematical identity, a full statevector or stabilizer simulation, or an exhaustive basis-state truth table.
The design was verified by construction plus measured evidence: statistical re-execution, small-instance analytic agreement, sub-block, echo, or invariant checks. Scale-specific bugs can still survive.
The record rests on external authority: peer-reviewed papers, standard textbooks, expert review, or evidence carried over from related verified entries. Nothing here was re-executed by this catalog.
Only automated (LLM-assisted) review or an unreviewed community submission backs this record so far. Treat it as a starting point, not evidence.
10 entries · 14 records, sized variants folded
Atlas stars stay in this public list. Saving an entry to your workspace starts an unstarred private copy.
A two-qubit entanglement example with a return contract and distribution check.
A bank of disjoint Bell-pair preparations that exposes parallel two-qubit-gate structure.
A width-scaled GHZ preparation circuit with one Hadamard and a nearest-neighbor CNOT chain.
A linear graph-state preparation circuit using one Hadamard per qubit and nearest-neighbor CZ edges.
A cyclic graph-state preparation circuit with Hadamards followed by CZ interactions around a ring.
The symmetric Dicke state |D²₄⟩: a uniform superposition over every 4-qubit basis string with exactly 2 excitations.
A reusable GHZ state preparation circuit with simulator-only evidence.
A graph state built on a 4-cycle rather than an open chain, illustrating how stabilizer generators follow directly from graph adjacency.
The Hadamard-basis (X-basis) states |+⟩ and |−⟩: the eigenstates of the Pauli-X operator, produced from |0⟩/|1⟩ by a single Hadamard gate.
The three-qubit W state, an equal superposition of every single-excitation basis string that survives the loss of one qubit better than GHZ.