Table 1 Simulated numbers of physical (memory and periphery) qubits and resource overheads (%) in the absence of a repair scheme (Original) and with 1, 2, 4, 8 redundant repair qubits (RR1, RR2, RR4, and RR8) respectively.

From: Enhancing the yield of bucket brigade quantum random access memory using redundancy repair

Code distance

Number of logical qubits

Number of physical qubits

Resource overhead (%)

Original

RR1

RR2

RR4

RR8

RR1

RR2

RR4

RR8

Mem

Peri

Mem

Peri

Mem

Peri

Mem

Peri

Mem

Peri

Mem

Peri

Mem

Peri

Mem

Peri

Mem

Peri

QEC 3

16

272

374

289

544

306

544

340

544

408

595

6.25

45.45

12.5

45.5

25.0

45.5

50.0

59.1

32

544

663

561

867

578

867

612

867

680

901

3.13

30.77

6.25

30.77

12.5

30.8

25.0

35.9

64

1,088

1,224

1,105

1,462

1,122

1,462

1,156

1,462

1,224

1,479

1.56

19.44

3.13

19.44

6.25

19.44

12.5

20.8

128

2,176

2,329

2,193

2,601

2,210

2,601

2,244

2,601

2,312

2,601

0.78

11.68

1.56

11.68

3.13

11.68

6.25

11.68

256

4,352

4,522

4,369

4,828

4,386

4,828

4,420

4,828

4,488

4,828

0.39

6.77

0.78

6.77

1.56

6.77

3.13

6.77

512

8,704

8,891

8,721

9,231

8,738

9,231

8,772

9,231

8,840

9,231

0.20

3.82

0.39

3.82

0.78

3.82

1.56

3.82

1,024

17,408

17,612

17,425

17,986

17,442

17,986

17,476

17,986

17,544

17,986

0.10

2.12

0.20

2.12

0.39

2.12

0.78

2.12

QEC 5

16

784

1,078

833

1,568

882

1,568

980

1,568

1,176

1,715

6.25

45.45

12.5

45.5

25.0

45.5

50.0

59.1

32

1,568

1,911

1,617

2,499

1,666

2,499

1,764

2,499

1,960

2,597

3.13

30.77

6.25

30.77

12.5

30.8

25.0

35.9

64

3,136

3,528

3,185

4,214

3,234

4,214

3,332

4,214

3,528

4,263

1.56

19.44

3.13

19.44

6.25

19.44

12.5

20.8

128

6,272

6,713

6,321

7,497

6,370

7,497

6,468

7,497

6,664

7,497

0.78

11.68

1.56

11.68

3.13

11.68

6.25

11.68

256

12,544

13,034

12,593

13,916

12,642

13,916

12,740

13,916

12,936

13,916

0.39

6.77

0.78

6.77

1.56

6.77

3.13

6.77

512

25,088

25,627

25,137

26,607

25,186

26,607

25,284

26,607

25,480

26,607

0.20

3.82

0.39

3.82

0.78

3.82

1.56

3.82

1,024

50,176

50,764

50,225

51,842

50,274

51,842

50,372

51,842

50,568

51,842

0.10

2.12

0.20

2.12

0.39

2.12

0.78

2.12

QEC 7

16

1,552

2,134

1,649

3,104

1,746

3,104

1,940

3,104

2,328

3,395

6.25

45.45

12.5

45.5

25.0

45.5

50.0

59.1

32

3,104

3,783

3,201

4,947

3,298

4,947

3,492

4,947

3,880

5,141

3.13

30.77

6.25

30.77

12.5

30.8

25.0

35.9

64

6,208

6,984

6,305

8,342

6,402

8,342

6,596

8,342

6,984

8,439

1.56

19.44

3.13

19.44

6.25

19.44

12.5

20.8

128

12,416

13,289

12,513

14,841

12,610

14,841

12,804

14,841

13,192

14,841

0.78

11.68

1.56

11.68

3.13

11.68

6.25

11.68

256

24,832

25,802

24,929

27,548

25,026

27,548

25,220

27,548

25,608

27,548

0.39

6.77

0.78

6.77

1.56

6.77

3.13

6.77

512

49,664

50,731

49,761

52,671

49,858

52,671

50,052

52,671

50,440

52,671

0.20

3.82

0.39

3.82

0.78

3.82

1.56

3.82

1,024

99,328

100,492

99,425

102,626

99,522

102,626

99,716

102,626

100,104

102,626

0.10

2.12

0.20

2.12

0.39

2.12

0.78

2.12

QEC 9

16

2,576

3,542

2,737

5,152

2,898

5,152

3,220

5,152

3,864

5,635

6.25

45.45

12.5

45.5

25.0

45.5

50.0

59.1

32

5,152

6,279

5,313

8,211

5,474

8,211

5,796

8,211

6,440

8,533

3.13

30.77

6.25

30.77

12.5

30.8

25.0

35.9

64

10,304

11,592

10,465

13,846

10,626

13,846

10,948

13,846

11,592

14,007

1.56

19.44

3.13

19.44

19.44

12.66

12.5

20.8

128

20,608

22,057

20,769

24,633

20,930

24,633

21,252

24,633

21,896

24,633

0.78

11.68

1.56

11.68

3.13

11.68

6.25

11.68

256

41,216

42,826

41,377

45,724

41,538

45,724

41,860

45,724

42,504

45,724

0.39

6.77

0.78

6.77

1.56

6.77

3.13

6.77

512

82,432

84,203

82,593

87,423

82,754

87,423

83,076

87,423

83,720

87,423

0.20

3.82

0.39

3.82

0.78

3.82

1.56

3.82

1,024

164,864

166,796

165,025

170,338

165,186

170,338

165,508

170,338

166,152

170,338

0.10

2.12

0.20

2.12

0.39

2.12

0.78

2.12