Simon McBurney is a match for Mikhail Bulgakov's fiendishly complex play.

Here's a challenge: stage bits of the New Testament alongside anti-Stalinist satire; throw in some flying witches, a Faustian pact and magic potions. Oh, and a really big cat. "It's undoable," was Andrew Lloyd Webber's verdict on adapting Mikhail Bulgakov's The Master and Margarita for the stage. "It's just too difficult for an audience to contemplate." Which hasn't stopped a whole host of people cramponing up this theatrical Everest, of which the latest is Simon McBurney and Complicite at the Barbican.

True, it's a fractured labyrinth of stories and styles; we flip from magic realism to allegory to mordant satire. The devil and his outsize familiar pay a visit to Stalinist Russia. At the same time the story - of uncertain parentage - of Pontius Pilate and Yeshua Ha-Notsri (Jesus of Nazareth) unfolds. As does the redemptive love story between the "Master," who is a writer, and Margarita. But when all this is grounded in the physical discipline that Complicite bring to bear in their work, anything is possible.

In their chaste restraint in the matters of props and scenery, the company are the heirs apparent to Peter Brook. With fluid legerdemain the cast's bodies bend equally to forging a Gethsamane or a Moscow tram: their expressivity puts one in mind of the silent movie. They perform magical role switches - a character is sloughed off to reveal another underneath - which I for one did not see coming. This show lights up Bulgakov's labyrinth for us, but darkness and confusion is always snaking just around the corner (perhaps not entirely under the company's control). Moody flurries of Shostakovich underscore our misgivings.

If all this sounds a bit of a pious bore there's some exuberant slapstick to boot. With Complicite you get the impression that the clown has never entirely left the building.

Where McBurney parts company with the Brook ascetics is in enthusiastic embrace of technology, as extension to the actors' protean bodies. Lighting by Paul Anderson, video by Finn Ross and 3D animation from Luke Halls combine to breathtaking effect. Cameras trained on the actors give us giant close-ups or spectacular aerial perspectives; they mess with point of view and fragment the performers - handy for conjuring severed heads - or multiply them into Eisenstein-style crowds. We zoom in on a set of co-ordinates in an enormous Google Earth Moscow, and we pan out on the whole city, suggesting surveillance both state and supernatural. There are illusions to bewitch and dazzle: actors plummet from tall buildings or gallop on horseback into the stars.

Within the ensemble there are cherishable performances, in particular from Paul Rhys as the devil, sporting a mouthful of flashing metal and a Matrix mac; and Sinéad Matthews as Margarita. With her severe Louise Brooks bob and her husky, vulnerable voice (it has a shucked quality, as though its quick has been exposed) she's the anima that drives the scene, and the muse that drives the love story.

The play tests and flexes the audience's tolerance. It is, perhaps, too long. Even the doughty Matthews starts to look as though hanging around naked on stage, painted blue (it's a long story) is not all it's cracked up to be. But in the main McBurney matches Bulgakov's literary achievement, toe-to-toe, with a theatrical one. He is surely one of our most powerful contemporary myth-makers.

"Manuscripts don't burn," says the devil at one point in the play, seemingly affirming the power and longevity of the written word. But nothing is quite this straightforward chez Bulgakov. In the show's bible belt, Jesus protests that Matthew the Levite, the original unreliable narrator, has made up much of his written account. Pilate strikes a note of warning, "People might believe this nonsense," he says, "for years to come."

Bulgakov's The Master and Margarita - a plea for art, imagination and compassion in the face of intolerance - itself fell victim to the Soviet repressive machinery. The devil, in this version by Edward Kemp, remarks that the Muscovites "remind me of their predecessors. And their successors." Nowadays Russian samizdat takes the form of parodic poetry videos: "Citizen's Poet" lampoons Putin's presidency and his stage-managed photo-opportunism, "skiing, dancing, the whole nine yards."

Or it did until the final upload on 5 March, after Putin's landslide victory had turned the heat up on such satire. Plus ça change.

His master's voice: Simon McBurney. Photograph: Getty Images
Screenshot of Black Mirror's Fifteen Million Merits.
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How likely are the plots of each Black Mirror episode to happen?

As the third series is on its way, how realistic is each instalment so far of the techno-dystopian drama? We rate the plausibility of every episode.

What if horses could vote? What if wars were fought using Snapchat? What if eggs were cyber?

Just some of the questions that presumably won’t be answered in the new series of Charlie Brooker’s dystopian anthology series Black Mirror, somewhere between The Twilight Zone with an app and The Thick Of It on acid.

A typical instalment takes an aspect of modern technology, politics, or life in general and pushes it a few steps into the future – but just how plausible has each episode been so far?

Series 1 (2011)

Episode 1: The National Anthem

Premise: A member of the Royal Family is kidnapped and will only be released unharmed if the Prime Minister agrees to have sexual intercourse with a pig on live television.

Instead of predicting the future, Black Mirror’s first episode unwittingly managed to foreshadow an allegation about the past: Charlie Brooker says at the time he was unaware of the story surrounding David Cameron and a pig-based activity that occurred at Oxford university. But there’s absolutely no evidence that the Cameron story is true, and real political kidnappings tend to have rather more prosaic goals. On the other hand, it’s hard to say that something akin to the events portrayed could NEVER happen.

Plausibility rating: 2 out of 5

Episode 2: Fifteen Million Merits

Premise: Sometime in the future, most of the population is forced to earn money by pedalling bikes to generate electricity, while constantly surrounded by unskippable adverts. The only hope of escape is winning an X-Factor-style game show.

In 2012, a Brazilian prison announced an innovative method of combating overcrowding. Prisoners were given the option to spend some of their time on electricity-producing bikes; for every 16 hours they spent on the bike, a day would be knocked off their sentence.

The first step to bicycle-dystopia? Probably not. The amount of electricity a human body can produce through pedalling (or any other way, for that matter) is pretty negligible, especially when you take account of the cost of the food you’d have to eat to have enough energy to pedal all day. Maybe the bike thing is a sort of metaphor. Who can say?

Plausibility rating: 0 out of 5

Episode 3: The Entire History of You

Premise: Everyone has a device implanted in their heads that records everything that happens to them and allows them to replay those recordings at will.

Google Glasses with a built-in camera didn’t work out, because no one wanted to walk around looking like a creepy berk. But the less visibly creepy version is coming; Samsung patented “smart” contact lenses with a built-in camera earlier this year.

And there are already social networks and even specialised apps that are packaging up slices of our online past and yelling them at us regardless of whether we even want them: Four years ago you took this video of a duck! Remember when you became Facebook friends with that guy from your old work who got fired for stealing paper? Look at this photo of the very last time you experienced true happiness!

Plausibility rating: 5 out of 5

Series 2 (2013)

Episode 1: Be Right Back

Premise: A new service is created that enables an artificial “resurrection” of the dead via their social media posts and email. You can even connect it to a robot, which you can then kiss.

Last year, Eugenia Kuyda, an AI entrepreneur, was grieving for her best friend and hit upon the idea of feeding his old text messages into one of her company’s neural network-based chat bots, so that she and others could, in a way, continue to talk to him. Reaction to this was, unsurprisingly, mixed – this very episode was cited by those who were disturbed by the tribute. Even the robot bit might not be that far off, if that bloke who made the creepy Scarlett Johansson android has anything to say about it.

Plausibility rating: 4 out of 5

Episode 2: White Bear

Premise: A combination of mind-wiping technology and an elaborately staged series of fake events are used to punish criminals by repeatedly giving them an experience that will make them feel like their own victims did.

There is some evidence that it could be possible to selectively erase memories using a combination of drugs and other therapies, but would this ever be used as part of a bizarre criminal punishment? Well, this kind of “fit the crime” penalty is not totally unheard of – judges in America have been to known to force slum landlords to live in their own rental properties, for example. But, as presented here, it seems a bit elaborate and expensive to work at any kind of scale.

Plausibility rating: 1 out of 5

Episode 3: The Waldo Moment

Premise: A cartoon bear stands as an MP.

This just couldn’t happen, without major and deeply unlikely changes to UK election law. Possibly the closest literal parallel in the UK was when Hartlepool FC’s mascot H'Angus the Monkey stood for, and was elected, mayor – although the bloke inside, Stuart Drummond, ran under his own name and immediately disassociated himself from the H’Angus brand to become a serious and fairly popular mayor.

There are no other parallels with grotesque politicians who may as well be cartoon characters getting close to high political office. None.

Plausibility rating: 0 out of 5

Christmas special (2015)

Episode: White Christmas

Premise 1: Everyone has a device implanted in their eyes that gives them constant internet access. One application of this is to secretly get live dating/pick-up artistry advice.

As with “The Entire History of You”, there’s nothing particularly unfeasible about the underlying technology here. There’s already an app called Relationup that offers live chat with “relationship advisers” who can help you get through a date; another called Jyst claims to have solved the problem by allowing users to get romantic advice from a community of anonymous users. Or you could, you know, just smile and ask them about themselves.

Plausibility rating: 4 out of 5

Premise 2: Human personalities can be copied into electronic devices. These copies then have their spirits crushed and are forced to become the ultimate personalised version of Siri, running your life to your exact tastes.

The Blue Brain Project research group last year announced they’d modelled a small bit of rat brain as a stepping stone to a full simulation of the human brain, so, we’re getting there.

But even if it is theoretically possible, using an entire human personality to make sure your toast is always the right shade of brown seems like overkill. What about the risk of leaving your life in the hands of a severely traumatised version of yourself? What if that bathwater at “just the right” temperature turns out to be scalding hot because the digital you didn’t crack in quite the right way?

Plausibility rating: 1 out of 5

Premise 3: There’s a real-life equivalent of a social media block: once blocked, you can’t see or hear the person who has blocked you. This can also be used as a criminal punishment and people classed as sex offenders are automatically blocked by everyone.

Again, the technology involved is not outrageous. But even if you have not worried about the direct effect of such a powerful form of social isolation on the mental health of criminals, letting them wander around freely in this state is likely to have fairly unfortunate consequences, sooner or later. It’s almost as if it’s just a powerful image to end a TV drama on, rather than a feasible policy suggestion.

Plausibility rating: 2 out of 5

Series 3 of Black Mirror is out on Friday 21 October on Netflix.