The Materials Modeling Quantum Complexity Database

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Simulation of materials is one of the most promising applications of quantum computers. This database outlines properties of materials developed by researchers using Phasecraft’s new quantum algorithm design for materials modelling, where quantum-circuit depth is independent of the system’s size.

Each material lists the current circuit depth and number of qubits needed, along with the main structural properties of the material and details on where the original information about the structure was obtained.

Our methodology

Materials (46)

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	Qubits	Depth
Baseline	810	6.185×10^⁸
Phasecraft	1,368	39,461

	Qubits	Depth
Baseline	1,500	3.999×10^⁹
Phasecraft	2,370	26,557

	Qubits	Depth
Baseline	1,764	6.563×10^⁹
Phasecraft	2,490	31,237

	Qubits	Depth
Baseline	3,250	4.26×10^¹⁰
Phasecraft	5,620	53,891

	Qubits	Depth
Baseline	4,000	8.041×10^¹⁰
Phasecraft	6,370	81,052

	Qubits	Depth
Baseline	864	7.535×10^⁸
Phasecraft	1,368	48,555

	Qubits	Depth
Baseline	864	7.535×10^⁸
Phasecraft	1,368	46,837

	Qubits	Depth
Baseline	4,000	8.041×10^¹⁰
Phasecraft	6,370	86,132

	Qubits	Depth
Baseline	1,000	1.157×10^⁹
Phasecraft	2,120	16,508

	Qubits	Depth
Baseline	1,458	3.657×10^⁹
Phasecraft	4,128	27,476

	Qubits	Depth
Baseline	702	3.993×10^⁸
Phasecraft	1,152	13,620

	Qubits	Depth
Baseline	1,000	1.157×10^⁹
Phasecraft	2,120	23,344

	Qubits	Depth
Baseline	864	7.535×10^⁸
Phasecraft	1,260	46,399

	Qubits	Depth
Baseline	486	1.297×10^⁸
Phasecraft	990	9,910

	Qubits	Depth
Baseline	702	3.993×10^⁸
Phasecraft	1,206	12,316

	Qubits	Depth
Baseline	3,250	4.26×10^¹⁰
Phasecraft	5,620	43,429

	Qubits	Depth
Baseline	1,350	2.907×10^⁹
Phasecraft	3,964	71,709

	Qubits	Depth
Baseline	1,134	1.731×10^⁹
Phasecraft	1,638	35,273

	Qubits	Depth
Baseline	1,500	3.506×10^⁹
Phasecraft	1,024	8,394

	Qubits	Depth
Baseline	1,500	3.5×10^¹⁰
Phasecraft	1,870	37,319

	Qubits	Depth
Baseline	3,000	3.335×10^¹⁰
Phasecraft	3,120	166,018

	Qubits	Depth
Baseline	1,134	1.731×10^⁹
Phasecraft	1,368	47,321

	Qubits	Depth
Baseline	1,134	1.731×10^⁹
Phasecraft	1,368	31,007

	Qubits	Depth
Baseline	5,250	1.848×10^¹¹
Phasecraft	6,870	126,864

	Qubits	Depth
Baseline	1,260	2.085×10^⁹
Phasecraft	1,120	7,900

	Qubits	Depth
Baseline	3,822	6.991×10^¹⁰
Phasecraft	5,430	88,893

	Qubits	Depth
Baseline	1,000	1.157×10^⁹
Phasecraft	2,120	26,973

	Qubits	Depth
Baseline	1,000	1.157×10^⁹
Phasecraft	2,120	7,296

	Qubits	Depth
Baseline	4,050	8.379×10^¹⁰
Phasecraft	5,164	40,481

	Qubits	Depth
Baseline	1,512	4.118×10^⁹
Phasecraft	3,830	121,307

	Qubits	Depth
Baseline	1,800	7.01×10^⁹
Phasecraft	2,614	18,356

	Qubits	Depth
Baseline	4,500	1.153×10^¹¹
Phasecraft	5,620	67,944

	Qubits	Depth
Baseline	4,500	1.153×10^¹¹
Phasecraft	6,120	65,265

	Qubits	Depth
Baseline	1,350	2.907×10^⁹
Phasecraft	3,964	144,452

	Qubits	Depth
Baseline	750	4.263×10^⁸
Phasecraft	1,120	8,507

	Qubits	Depth
Baseline	1,500	3.999×10^⁹
Phasecraft	1,120	18,626

	Qubits	Depth
Baseline	1,080	1.491×10^⁹
Phasecraft	1,800	24,471

	Qubits	Depth
Baseline	4,000	8.041×10^¹⁰
Phasecraft	5,870	59,199

	Qubits	Depth
Baseline	864	7.535×10^⁸
Phasecraft	1,260	43,672

	Qubits	Depth
Baseline	864	6.694×10^⁸
Phasecraft	180	884

	Qubits	Depth
Baseline	864	7.535×10^⁸
Phasecraft	1,098	11,431

	Qubits	Depth
Baseline	1,080	1.477×10^⁹
Phasecraft	2,734	60,171

	Qubits	Depth
Baseline	1,800	7.01×10^⁹
Phasecraft	2,614	54,697

	Qubits	Depth
Baseline	1,134	1.731×10^⁹
Phasecraft	1,368	53,986

	Qubits	Depth
Baseline	5,250	1.848×10^¹¹
Phasecraft	5,370	72,984

	Qubits	Depth
Baseline	2,250	1.383×10^¹⁰
Phasecraft	4,620	79,071

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