|
426 | 426 | "num(4)"
|
427 | 427 | ]
|
428 | 428 | },
|
| 429 | + { |
| 430 | + "cell_type": "markdown", |
| 431 | + "metadata": {}, |
| 432 | + "source": [ |
| 433 | + "#### Random Matrices" |
| 434 | + ] |
| 435 | + }, |
| 436 | + { |
| 437 | + "cell_type": "markdown", |
| 438 | + "metadata": {}, |
| 439 | + "source": [ |
| 440 | + "- Random hermitian matrix" |
| 441 | + ] |
| 442 | + }, |
| 443 | + { |
| 444 | + "cell_type": "code", |
| 445 | + "execution_count": 59, |
| 446 | + "metadata": {}, |
| 447 | + "outputs": [ |
| 448 | + { |
| 449 | + "data": { |
| 450 | + "text/latex": [ |
| 451 | + "Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = True\\begin{equation*}\\left(\\begin{array}{*{11}c}-0.501 & (-0.172+0.146j) & 0.0 & (-0.060+0.697j)\\\\(-0.172-0.146j) & 0.169 & (-0.305+0.588j) & (0.044+0.641j)\\\\0.0 & (-0.305-0.588j) & 0.0 & (-0.458-0.087j)\\\\(-0.060-0.697j) & (0.044-0.641j) & (-0.458+0.087j) & 0.756\\\\\\end{array}\\right)\\end{equation*}" |
| 452 | + ], |
| 453 | + "text/plain": [ |
| 454 | + "Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = True\n", |
| 455 | + "Qobj data =\n", |
| 456 | + "[[-0.50113582+0.j -0.17222998+0.14571042j 0. +0.j\n", |
| 457 | + " -0.06039662+0.6965142j ]\n", |
| 458 | + " [-0.17222998-0.14571042j 0.1689534 +0.j -0.30474969+0.58835929j\n", |
| 459 | + " 0.04412378+0.64077284j]\n", |
| 460 | + " [ 0. +0.j -0.30474969-0.58835929j 0. +0.j\n", |
| 461 | + " -0.45812567-0.08748371j]\n", |
| 462 | + " [-0.06039662-0.6965142j 0.04412378-0.64077284j -0.45812567+0.08748371j\n", |
| 463 | + " 0.75578241+0.j ]]" |
| 464 | + ] |
| 465 | + }, |
| 466 | + "execution_count": 59, |
| 467 | + "metadata": {}, |
| 468 | + "output_type": "execute_result" |
| 469 | + } |
| 470 | + ], |
| 471 | + "source": [ |
| 472 | + "rand_herm(4)" |
| 473 | + ] |
| 474 | + }, |
| 475 | + { |
| 476 | + "cell_type": "markdown", |
| 477 | + "metadata": {}, |
| 478 | + "source": [ |
| 479 | + "- Random Unitary Matrix" |
| 480 | + ] |
| 481 | + }, |
| 482 | + { |
| 483 | + "cell_type": "code", |
| 484 | + "execution_count": 56, |
| 485 | + "metadata": {}, |
| 486 | + "outputs": [ |
| 487 | + { |
| 488 | + "data": { |
| 489 | + "text/latex": [ |
| 490 | + "Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = False\\begin{equation*}\\left(\\begin{array}{*{11}c}(0.332-0.610j) & (-0.248+0.007j) & (-0.332-0.267j) & (0.468-0.235j)\\\\(-0.062-0.085j) & (0.838-0.353j) & (-0.312-0.253j) & (3.589\\times10^{-05}-0.034j)\\\\(-0.032-0.481j) & (0.145-0.293j) & (0.790+0.106j) & (0.020-0.156j)\\\\(-0.427+0.302j) & (0.069+0.006j) & (0.109+0.097j) & (0.834-0.066j)\\\\\\end{array}\\right)\\end{equation*}" |
| 491 | + ], |
| 492 | + "text/plain": [ |
| 493 | + "Quantum object: dims = [[4], [4]], shape = (4, 4), type = oper, isherm = False\n", |
| 494 | + "Qobj data =\n", |
| 495 | + "[[ 3.32426091e-01-0.61008781j -2.48216764e-01+0.00742287j\n", |
| 496 | + " -3.32218003e-01-0.26721645j 4.67803649e-01-0.23453233j]\n", |
| 497 | + " [-6.18056368e-02-0.08520346j 8.37959790e-01-0.35291461j\n", |
| 498 | + " -3.11514724e-01-0.25291069j 3.58896057e-05-0.03449434j]\n", |
| 499 | + " [-3.17360027e-02-0.48099205j 1.44640852e-01-0.29316018j\n", |
| 500 | + " 7.90378747e-01+0.10591817j 2.00616601e-02-0.15638388j]\n", |
| 501 | + " [-4.27155409e-01+0.30229774j 6.86551818e-02+0.00553252j\n", |
| 502 | + " 1.09189564e-01+0.0968594j 8.34155661e-01-0.06550129j]]" |
| 503 | + ] |
| 504 | + }, |
| 505 | + "execution_count": 56, |
| 506 | + "metadata": {}, |
| 507 | + "output_type": "execute_result" |
| 508 | + } |
| 509 | + ], |
| 510 | + "source": [ |
| 511 | + "rand_unitary(4)" |
| 512 | + ] |
| 513 | + }, |
| 514 | + { |
| 515 | + "cell_type": "code", |
| 516 | + "execution_count": null, |
| 517 | + "metadata": {}, |
| 518 | + "outputs": [], |
| 519 | + "source": [] |
| 520 | + }, |
| 521 | + { |
| 522 | + "cell_type": "code", |
| 523 | + "execution_count": null, |
| 524 | + "metadata": {}, |
| 525 | + "outputs": [], |
| 526 | + "source": [] |
| 527 | + }, |
| 528 | + { |
| 529 | + "cell_type": "code", |
| 530 | + "execution_count": null, |
| 531 | + "metadata": {}, |
| 532 | + "outputs": [], |
| 533 | + "source": [] |
| 534 | + }, |
| 535 | + { |
| 536 | + "cell_type": "code", |
| 537 | + "execution_count": null, |
| 538 | + "metadata": {}, |
| 539 | + "outputs": [], |
| 540 | + "source": [] |
| 541 | + }, |
429 | 542 | {
|
430 | 543 | "cell_type": "code",
|
431 | 544 | "execution_count": null,
|
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